137347920 has 80 divisors (see below), whose sum is σ = 473094720. Its totient is φ = 36625536.

The previous prime is 137347919. The next prime is 137347933. The reversal of 137347920 is 29743731.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×137347920² = 37728902256652800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29634 + ... + 33953.

It is an arithmetic number, because the mean of its divisors is an integer number (5913684).

Almost surely, 2^137347920 is an apocalyptic number.

137347920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137347920 is an abundant number, since it is smaller than the sum of its proper divisors (335746800).

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

137347920 is a wasteful number, since it uses less digits than its factorization.

137347920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63609 (or 63597 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 137347920 is about 11719.5528924955. The cubic root of 137347920 is about 515.9496976383.

The spelling of 137347920 in words is "one hundred thirty-seven million, three hundred forty-seven thousand, nine hundred twenty".