137684920 has 16 divisors (see below), whose sum is σ = 309791160. Its totient is φ = 55073952.

The previous prime is 137684873. The next prime is 137684951. The reversal of 137684920 is 29486731.

137684920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40), and also a Moran number because the ratio is a prime number: 3442123 = 137684920 / (1 + 3 + 7 + 6 + 8 + 4 + 9 + 2 + 0).

It is a congruent number.

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, 1721022 + ... + 1721101.

Almost surely, 2^137684920 is an apocalyptic number.

137684920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137684920 is an abundant number, since it is smaller than the sum of its proper divisors (172106240).

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

137684920 is a wasteful number, since it uses less digits than its factorization.

137684920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3442134 (or 3442130 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The square root of 137684920 is about 11733.9217655480. The cubic root of 137684920 is about 516.3713349754.

The spelling of 137684920 in words is "one hundred thirty-seven million, six hundred eighty-four thousand, nine hundred twenty".