137039657 has 2 divisors, whose sum is σ = 137039658. Its totient is φ = 137039656.

The previous prime is 137039633. The next prime is 137039659. The reversal of 137039657 is 756930731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 136866601 + 173056 = 11699^2 + 416^2 .

It is an emirp because it is prime and its reverse (756930731) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 137039657 - 2¹⁰ = 137038633 is a prime.

Together with 137039659, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (137039659) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68519828 + 68519829.

It is an arithmetic number, because the mean of its divisors is an integer number (68519829).

Almost surely, 2^137039657 is an apocalyptic number.

It is an amenable number.

137039657 is a deficient number, since it is larger than the sum of its proper divisors (1).

137039657 is an equidigital number, since it uses as much as digits as its factorization.

137039657 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 119070, while the sum is 41.

The square root of 137039657 is about 11706.3938512251. The cubic root of 137039657 is about 515.5634101740.

The spelling of 137039657 in words is "one hundred thirty-seven million, thirty-nine thousand, six hundred fifty-seven".