137938752 has 84 divisors (see below), whose sum is σ = 451872096. Its totient is φ = 39409920.

The previous prime is 137938739. The next prime is 137938769. The reversal of 137938752 is 257839731.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (84).

It is a junction number, because it is equal to n+sod(n) for n = 137938698 and 137938707.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13074 + ... + 21137.

Almost surely, 2^137938752 is an apocalyptic number.

137938752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

137938752 is an abundant number, since it is smaller than the sum of its proper divisors (313933344).

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

137938752 is a wasteful number, since it uses less digits than its factorization.

137938752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34236 (or 34223 counting only the distinct ones).

The product of its digits is 317520, while the sum is 45.

The square root of 137938752 is about 11744.7329471555. The cubic root of 137938752 is about 516.6884626717.

The spelling of 137938752 in words is "one hundred thirty-seven million, nine hundred thirty-eight thousand, seven hundred fifty-two".