137839927824 has 75 divisors (see below), whose sum is σ = 398987429533. Its totient is φ = 45942187392.

The previous prime is 137839927807. The next prime is 137839927837. The reversal of 137839927824 is 428729938731.

The square root of 137839927824 is 371268.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 56710659600 + 81129268224 = 238140^2 + 284832^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 13360492 + ... + 13370804.

Almost surely, 2^137839927824 is an apocalyptic number.

137839927824 is the 371268-th square number.

It is an amenable number.

137839927824 is an abundant number, since it is smaller than the sum of its proper divisors (261147501709).

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

137839927824 is an frugal number, since it uses more digits than its factorization.

137839927824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20646 (or 10318 counting only the distinct ones).

The product of its digits is 36578304, while the sum is 63.

The spelling of 137839927824 in words is "one hundred thirty-seven billion, eight hundred thirty-nine million, nine hundred twenty-seven thousand, eight hundred twenty-four".