137439904 has 144 divisors (see below), whose sum is σ = 340599168. Its totient is φ = 54286848.

The previous prime is 137439899. The next prime is 137439931. The reversal of 137439904 is 409934731.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1334317 + ... + 1334419.

It is an arithmetic number, because the mean of its divisors is an integer number (2365272).

Almost surely, 2^137439904 is an apocalyptic number.

137439904 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137439904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170299584).

137439904 is an abundant number, since it is smaller than the sum of its proper divisors (203159264).

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

137439904 is a wasteful number, since it uses less digits than its factorization.

137439904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 40.

The square root of 137439904 is about 11723.4766174544. The cubic root of 137439904 is about 516.0648517332.

The spelling of 137439904 in words is "one hundred thirty-seven million, four hundred thirty-nine thousand, nine hundred four".