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137 (number)

137 is the natural number following 136 and preceding 138.

CardinalOne hundred [and]
thirty seven
Ordinal137th
Factorization<math>prime<math>
Roman numeralCXXXVII
Binary10001001
Octal211
Hexadecimal89

Table of contents

Mathematics

One hundred thirty-seven is the 33rd prime number; the next is 139, with which it comprises a twin 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, it is not palindromic in any base from base 2 to base 135.

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).

Other fields

137 is also:

See also: 130s, list of numbers

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