137607272 has 32 divisors (see below), whose sum is σ = 296287200. Its totient is φ = 59256000.

The previous prime is 137607271. The next prime is 137607289. The reversal of 137607272 is 272706731.

137607272 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×137607272² = 37871522614563968, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (137607271) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39479 + ... + 42822.

It is an arithmetic number, because the mean of its divisors is an integer number (9258975).

Almost surely, 2^137607272 is an apocalyptic number.

It is an amenable number.

137607272 is an abundant number, since it is smaller than the sum of its proper divisors (158679928).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

137607272 is a wasteful number, since it uses less digits than its factorization.

137607272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82337 (or 82333 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 35.

The square root of 137607272 is about 11730.6126012242. The cubic root of 137607272 is about 516.2742467804.

The spelling of 137607272 in words is "one hundred thirty-seven million, six hundred seven thousand, two hundred seventy-two".