137005737216500 has 48 divisors (see below), whose sum is σ = 303686508216000. Its totient is φ = 53984350173600.

The previous prime is 137005737216497. The next prime is 137005737216539. The reversal of 137005737216500 is 5612737500731.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2044828250 + ... + 2044895249.

It is an arithmetic number, because the mean of its divisors is an integer number (6326802254500).

Almost surely, 2^{137005737216500} is an apocalyptic number.

137005737216500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137005737216500 is an abundant number, since it is smaller than the sum of its proper divisors (166680770999500).

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

137005737216500 is a wasteful number, since it uses less digits than its factorization.

137005737216500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4089723585 (or 4089723573 counting only the distinct ones).

The product of its (nonzero) digits is 926100, while the sum is 47.

The spelling of 137005737216500 in words is "one hundred thirty-seven trillion, five billion, seven hundred thirty-seven million, two hundred sixteen thousand, five hundred".