137272625 has 64 divisors (see below), whose sum is σ = 215654400. Its totient is φ = 85060800.

The previous prime is 137272609. The next prime is 137272661. The reversal of 137272625 is 526272731.

It is not a de Polignac number, because 137272625 - 2⁴ = 137272609 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a Curzon number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 382196 + ... + 382554.

It is an arithmetic number, because the mean of its divisors is an integer number (3369600).

Almost surely, 2^137272625 is an apocalyptic number.

It is an amenable number.

137272625 is a deficient number, since it is larger than the sum of its proper divisors (78381775).

137272625 is a wasteful number, since it uses less digits than its factorization.

137272625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 413 counting only the distinct ones).

The product of its digits is 35280, while the sum is 35.

The square root of 137272625 is about 11716.3400855387. The cubic root of 137272625 is about 515.8553981066.

The spelling of 137272625 in words is "one hundred thirty-seven million, two hundred seventy-two thousand, six hundred twenty-five".