137857984 has 56 divisors (see below), whose sum is σ = 303580800. Its totient is φ = 61582080.

The previous prime is 137857943. The next prime is 137858009. The reversal of 137857984 is 489758731.

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, 39877 + ... + 43195.

Almost surely, 2^137857984 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 137857984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151790400).

137857984 is an abundant number, since it is smaller than the sum of its proper divisors (165722816).

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

137857984 is a wasteful number, since it uses less digits than its factorization.

137857984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3401 (or 3391 counting only the distinct ones).

The product of its digits is 1693440, while the sum is 52.

The square root of 137857984 is about 11741.2939661691. The cubic root of 137857984 is about 516.5875965482.

The spelling of 137857984 in words is "one hundred thirty-seven million, eight hundred fifty-seven thousand, nine hundred eighty-four".