137260257 has 16 divisors (see below), whose sum is σ = 191262720. Its totient is φ = 87473232.

The previous prime is 137260241. The next prime is 137260267. The reversal of 137260257 is 752062731.

It is not a de Polignac number, because 137260257 - 2⁴ = 137260241 is a prime.

It is not an unprimeable number, because it can be changed into a prime (137260217) 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 in 15 ways as a sum of consecutive naturals, for example, 5257 + ... + 17382.

It is an arithmetic number, because the mean of its divisors is an integer number (11953920).

Almost surely, 2^137260257 is an apocalyptic number.

It is an amenable number.

137260257 is a deficient number, since it is larger than the sum of its proper divisors (54002463).

137260257 is a wasteful number, since it uses less digits than its factorization.

137260257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22732.

The product of its (nonzero) digits is 17640, while the sum is 33.

The square root of 137260257 is about 11715.8122637741. The cubic root of 137260257 is about 515.8399051142.

The spelling of 137260257 in words is "one hundred thirty-seven million, two hundred sixty thousand, two hundred fifty-seven".