137 number

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137 is the natural number following 136 and preceding 138.

Template:Numbers 100-200
CardinalOne hundred [and]
thirty seven
Ordinal137th
Factorization
Roman numeralCXXXVII
Binary10001001
Octal211
Hexadecimal89

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.

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.

Physics

The numerical value of the fine structure constant α, a dimensionless physical constant, is approximately 1/137. The physicist Arthur Eddington at one time thought α to be exactly 1/137, but careful measurements have shown this not to be the case: its value is currently estimated at 1/137.035 999 76(50).

This leads to predictions on the nature of electron orbitals. See untriseptium.

Other fields

137 is also:

See also: 130s, list of numbers

External links

fr:137 (nombre) ko:137 sl:137 (število)