The fifth harmonic number is : 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.
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". 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).
The fine structure constant of physics continues to convince esoterists that the universe has numerological fine tuning: 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 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: Jung, Pauli, and the Pursuit of Scientific Obsession by Arthur I. Miller, describes the friendship of the psychoanalyst and the physicist and their search for meaning in science, medieval alchemy, dream interpretation, and the Chinese Book of Changes for the number 137.