137513765000 has 80 divisors (see below), whose sum is σ = 341147594700. Its totient is φ = 51769856000.

The previous prime is 137513764943. The next prime is 137513765021. The reversal of 137513765000 is 567315731.

It can be written as a sum of positive squares in 10 ways, for example, as 14353477636 + 123160287364 = 119806^2 + 350942^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 723905 + ... + 893904.

Almost surely, 2^137513765000 is an apocalyptic number.

137513765000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137513765000 is an abundant number, since it is smaller than the sum of its proper divisors (203633829700).

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

137513765000 is a wasteful number, since it uses less digits than its factorization.

137513765000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1617852 (or 1617833 counting only the distinct ones).

The product of its (nonzero) digits is 66150, while the sum is 38.

The spelling of 137513765000 in words is "one hundred thirty-seven billion, five hundred thirteen million, seven hundred sixty-five thousand".