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137235937 is a prime number
BaseRepresentation
bin10000010111000…
…00110111100001
3100120020022022111
420023200313201
5240113022222
621341235321
73254325526
oct1013406741
9316208274
10137235937
1170514433
1239b62b41
13225801c7
141432514d
15c0ac777
hex82e0de1

137235937 has 2 divisors, whose sum is σ = 137235938. Its totient is φ = 137235936.

The previous prime is 137235893. The next prime is 137235949. The reversal of 137235937 is 739532731.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 76020961 + 61214976 = 8719^2 + 7824^2 .

It is a cyclic number.

It is not a de Polignac number, because 137235937 - 27 = 137235809 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 137235937.

It is not a weakly prime, because it can be changed into another prime (137232937) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68617968 + 68617969.

It is an arithmetic number, because the mean of its divisors is an integer number (68617969).

Almost surely, 2137235937 is an apocalyptic number.

It is an amenable number.

137235937 is a deficient number, since it is larger than the sum of its proper divisors (1).

137235937 is an equidigital number, since it uses as much as digits as its factorization.

137235937 is an evil number, because the sum of its binary digits is even.

The product of its digits is 119070, while the sum is 40.

The square root of 137235937 is about 11714.7743042707. The cubic root of 137235937 is about 515.8094375247.

The spelling of 137235937 in words is "one hundred thirty-seven million, two hundred thirty-five thousand, nine hundred thirty-seven".