137063257 has 2 divisors, whose sum is σ = 137063258. Its totient is φ = 137063256.

The previous prime is 137063203. The next prime is 137063261. The reversal of 137063257 is 752360731.

137063257 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 135001161 + 2062096 = 11619^2 + 1436^2 .

It is a cyclic number.

It is not a de Polignac number, because 137063257 - 2²⁷ = 2845529 is a prime.

It is not a weakly prime, because it can be changed into another prime (137063057) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68531628 + 68531629.

It is an arithmetic number, because the mean of its divisors is an integer number (68531629).

Almost surely, 2^137063257 is an apocalyptic number.

It is an amenable number.

137063257 is a deficient number, since it is larger than the sum of its proper divisors (1).

137063257 is an equidigital number, since it uses as much as digits as its factorization.

137063257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 26460, while the sum is 34.

The square root of 137063257 is about 11707.4018039871. The cubic root of 137063257 is about 515.5930040360.

The spelling of 137063257 in words is "one hundred thirty-seven million, sixty-three thousand, two hundred fifty-seven".