137313872640 has 216 divisors, whose sum is σ = 542962256928. Its totient is φ = 31386009600.

The previous prime is 137313872629. The next prime is 137313872669. The reversal of 137313872640 is 46278313731.

137313872640 is a `hidden beast` number, since 1 + 3 + 7 + 3 + 1 + 387 + 264 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 770761 + ... + 932040.

Almost surely, 2^137313872640 is an apocalyptic number.

137313872640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137313872640 is an abundant number, since it is smaller than the sum of its proper divisors (405648384288).

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

137313872640 is a wasteful number, since it uses less digits than its factorization.

137313872640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1702835 (or 1702818 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 137313872640 in words is "one hundred thirty-seven billion, three hundred thirteen million, eight hundred seventy-two thousand, six hundred forty".