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137088929 is a prime number
BaseRepresentation
bin10000010101111…
…00111110100001
3100112221211122202
420022330332201
5240043321204
621334142545
73253144115
oct1012747641
9315854582
10137088929
1170423a3a
1239ab1a55
132252b313
14142c7745
15c07de1e
hex82bcfa1

137088929 has 2 divisors, whose sum is σ = 137088930. Its totient is φ = 137088928.

The previous prime is 137088907. The next prime is 137088979. The reversal of 137088929 is 929880731.

137088929 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 120670225 + 16418704 = 10985^2 + 4052^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-137088929 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (137088979) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68544464 + 68544465.

It is an arithmetic number, because the mean of its divisors is an integer number (68544465).

Almost surely, 2137088929 is an apocalyptic number.

It is an amenable number.

137088929 is a deficient number, since it is larger than the sum of its proper divisors (1).

137088929 is an equidigital number, since it uses as much as digits as its factorization.

137088929 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 217728, while the sum is 47.

The square root of 137088929 is about 11708.4981530511. The cubic root of 137088929 is about 515.6251922815.

The spelling of 137088929 in words is "one hundred thirty-seven million, eighty-eight thousand, nine hundred twenty-nine".