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137 (number)

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137 is the natural number following 136 and preceding 138.

← 136 137 138 →
Cardinalone hundred [and] thirty-seven
Ordinalth
Numeral system137
Factorization137
Prime33rd
Divisors1, 137
Greek numeralΡΛΖ´
Roman numeralCXXXVII
Binary100010012
Ternary120023
Senary3456
Octal2118
DuodecimalB512
Hexadecimal8916

In mathematics

One hundred [and] thirty-seven 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 . 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

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.[2]

In the military

In music

In sports

In transportation

In other fields

137 is also:

See also

External links

References

  1. ^ Eddington, A.S., The Constants of Nature in "The World of Mathematics", Vol. 2 (1956) Ed. Newman, J.R., Simon and Schuster, pp. 1074-1093.
  2. ^ Helge Kragh, "Magic Number: A Partial History of the Fine-Structure Constant", Archive for History of Exact Sciences 57:5:395 (July, 2003) doi:10.1007/s00407-002-0065-7