137431664 has 40 divisors (see below), whose sum is σ = 272170080. Its totient is φ = 67212288.

The previous prime is 137431643. The next prime is 137431681. The reversal of 137431664 is 466134731.

137431664 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 146204 + ... + 147140.

It is an arithmetic number, because the mean of its divisors is an integer number (6804252).

Almost surely, 2^137431664 is an apocalyptic number.

It is an amenable number.

137431664 is a deficient number, since it is larger than the sum of its proper divisors (134738416).

137431664 is a wasteful number, since it uses less digits than its factorization.

137431664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1137 (or 1131 counting only the distinct ones).

The product of its digits is 36288, while the sum is 35.

The square root of 137431664 is about 11723.1251805992. The cubic root of 137431664 is about 516.0545382332.

The spelling of 137431664 in words is "one hundred thirty-seven million, four hundred thirty-one thousand, six hundred sixty-four".