137883264 has 64 divisors (see below), whose sum is σ = 369182880. Its totient is φ = 45593600.

The previous prime is 137883233. The next prime is 137883293. The reversal of 137883264 is 462388731.

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 48934 + ... + 51674.

Almost surely, 2^137883264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137883264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184591440).

137883264 is an abundant number, since it is smaller than the sum of its proper divisors (231299616).

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

137883264 is a wasteful number, since it uses less digits than its factorization.

137883264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2889 (or 2877 counting only the distinct ones).

The product of its digits is 193536, while the sum is 42.

The square root of 137883264 is about 11742.3704591535. The cubic root of 137883264 is about 516.6191714001.

The spelling of 137883264 in words is "one hundred thirty-seven million, eight hundred eighty-three thousand, two hundred sixty-four".