# 137 number

137 is the natural number following 136 and preceding 138.

 Template:Numbers 100-200 Cardinal One hundred [and] thirty seven Ordinal 137th Factorization ${\displaystyle prime}$ Roman numeral CXXXVII Binary 10001001 Octal 211 Hexadecimal 89

## 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 ${\displaystyle 3n-1}$. 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.

137 is also: