137931175538 has 18 divisors (see below), whose sum is σ = 224047231047. Its totient is φ = 63657391200.

The previous prime is 137931175519. The next prime is 137931175589. The reversal of 137931175538 is 835571139731.

It can be written as a sum of positive squares in 5 ways, for example, as 19039308289 + 118891867249 = 137983^2 + 344807^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=262613.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 137931175538.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6817838 + ... + 6838038.

Almost surely, 2^137931175538 is an apocalyptic number.

137931175538 is a deficient number, since it is larger than the sum of its proper divisors (86116055509).

137931175538 is an frugal number, since it uses more digits than its factorization.

137931175538 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40430 (or 20216 counting only the distinct ones).

The product of its digits is 2381400, while the sum is 53.

The spelling of 137931175538 in words is "one hundred thirty-seven billion, nine hundred thirty-one million, one hundred seventy-five thousand, five hundred thirty-eight".