# 137 (number)

 ← 136 137 138 →
Cardinal one hundred and thirty-seven
Ordinal 137th
(one hundred and thirty-seventh)
Factorization prime
Prime 33rd
Divisors 1, 137
Roman numeral CXXXVII
Binary 100010012
Ternary 120023
Quaternary 20214
Quinary 10225
Senary 3456
Octal 2118
Duodecimal B512
Vigesimal 6H20
Base 36 3T36

137 is the natural number following 136 and preceding 138.

## In mathematics

137 is the 33rd prime number; the next is 139, with which it comprises a twin prime, and thus 137 is a Chen prime.

• 137 is an Eisenstein prime with no imaginary part and a real part of the form $3n - 1$.
• It is also the fourth Stern prime.
• 137 is a strong prime in the sense that it is more than the arithmetic mean of its two neighboring primes.
• Using two radii to divide a circle according to the golden ratio yields sectors of approximately 137° (the golden angle) and 222°.
• 137 is a strictly non-palindromic number and a primeval number.
• The fifth harmonic number is $\frac{137}{60}$: probably known by old Egyptians, because they used only fraction with unity numerator. Underlined by the French physicist F.M. Sanchez in 1998, publihsed in 2004 in Pecker and Narlikar: Current issue in Cosmology, p. 258. There is a connection with the so-called combinational hierarchy discovered by Parker-Rhodes (mentioned by Bastin and Kilmister in Combinatorial Physics (1996)): 3=22 -1, 7=23 -1, 127=27 -1, 137=3+7+127 =3 + 134. The number 134 is also the number of columns of the hypostyle room of the Amon temple in Karnak, this room being situed between the second and third pilar of this temple.

## In physics

• The fine structure constant, a dimensionless physical constant, approximates 1/137, and the astronomer Arthur Eddington conjectured in 1929 that its reciprocal was in fact precisely the integer 137, which he claimed could be "obtained by pure deduction".[1] This conjecture was not widely adopted, and by the 1940s, the experimental values for the constant were clearly inconsistent with it (i.e. closer to 137.036).[2]

## In esoterism

• The fine structure constant of physics continues to convince esoterists that the universe has numerological fine tuning:[3] for example the age of the universe could be considered as roughly 137 times the square of a myriad of years.
• The Hebrew word קבלה (Kabbalah) takes a Gematria value of 137. Kabbalah is generally taken to mean "receiving," as evident from its root in Hebrew k-b-l (kof-beit-lamed), to "receive". Nevertheless, an additional nuance of meaning can be derived from the first appearance of its root (k-b-l) in the Torah. In Exodus 26:5 and 36:12, the root k-b-l appears to imply a state of “corresponding” rather than “receiving.” It is used to describe the “corresponding loops” which, when clasped together, enjoined the two sections of the Tabernacle’s ceiling. These loops were suspended directly over the veil that divided the Holy Place and the Holy of Holies. Symbolically, this is the threshold between the physical dimension and the utterly spiritual dimension. In other words, at the boundary line of the physical world, the number 137 emerges.
• The number 7 occurs 137 times in the book of Revelation.
• Chlorophyll's chemical formula is C55H72MgN4O5. This means there are a total of 137 atoms in every chlorophyll molecule.
• Bohr's Model and the Dirac Equation do not allow for elements above the atomic number of 137. A periodic table based on electron orbitals breaks down at this point.

## In politics

• In the Luxembourg "Bommeleeër" lawsuit, the (former) prime minister himself was an important whitness exactly one year after the lawsuit started. This was the 137'th session of the lawsuit. More on http://www.rtl.lu/themen/bommeleer/513737.html .

137 is also: