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137089331 is a prime number
BaseRepresentation
bin10000010101111…
…01000100110011
3100112221212012122
420022331010303
5240043324311
621334144455
73253145231
oct1012750463
9315855178
10137089331
1170424275
1239ab212b
132252b562
14142c7951
15c07e0db
hex82bd133

137089331 has 2 divisors, whose sum is σ = 137089332. Its totient is φ = 137089330.

The previous prime is 137089319. The next prime is 137089349. The reversal of 137089331 is 133980731.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-137089331 is a prime.

It is a super-2 number, since 2×1370893312 = 37586969348055122, which contains 22 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 137089291 and 137089300.

It is not a weakly prime, because it can be changed into another prime (137089301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68544665 + 68544666.

It is an arithmetic number, because the mean of its divisors is an integer number (68544666).

Almost surely, 2137089331 is an apocalyptic number.

137089331 is a deficient number, since it is larger than the sum of its proper divisors (1).

137089331 is an equidigital number, since it uses as much as digits as its factorization.

137089331 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13608, while the sum is 35.

The square root of 137089331 is about 11708.5153200566. The cubic root of 137089331 is about 515.6256962880.

The spelling of 137089331 in words is "one hundred thirty-seven million, eighty-nine thousand, three hundred thirty-one".