137257125 has 16 divisors (see below), whose sum is σ = 228396480. Its totient is φ = 73203600.

The previous prime is 137257117. The next prime is 137257147. The reversal of 137257125 is 521752731.

It is a happy number.

It is not a de Polignac number, because 137257125 - 2³ = 137257117 is a prime.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 182635 + ... + 183384.

It is an arithmetic number, because the mean of its divisors is an integer number (14274780).

Almost surely, 2^137257125 is an apocalyptic number.

137257125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

137257125 is a deficient number, since it is larger than the sum of its proper divisors (91139355).

137257125 is an equidigital number, since it uses as much as digits as its factorization.

137257125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366037 (or 366027 counting only the distinct ones).

The product of its digits is 14700, while the sum is 33.

The square root of 137257125 is about 11715.6785975034. The cubic root of 137257125 is about 515.8359816118.

The spelling of 137257125 in words is "one hundred thirty-seven million, two hundred fifty-seven thousand, one hundred twenty-five".