137611328 has 28 divisors (see below), whose sum is σ = 289137852. Its totient is φ = 64757760.

The previous prime is 137611307. The next prime is 137611333. The reversal of 137611328 is 823116731.

137611328 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 65157184 + 72454144 = 8072^2 + 8512^2 .

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 137611294 and 137611303.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 62153 + ... + 64328.

Almost surely, 2^137611328 is an apocalyptic number.

It is an amenable number.

137611328 is an abundant number, since it is smaller than the sum of its proper divisors (151526524).

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

137611328 is a wasteful number, since it uses less digits than its factorization.

137611328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126510 (or 126500 counting only the distinct ones).

The product of its digits is 6048, while the sum is 32.

The square root of 137611328 is about 11730.7854809471. The cubic root of 137611328 is about 516.2793191571.

The spelling of 137611328 in words is "one hundred thirty-seven million, six hundred eleven thousand, three hundred twenty-eight".