138516594336 has 36 divisors (see below), whose sum is σ = 393906565962. Its totient is φ = 46172198016.

The previous prime is 138516594313. The next prime is 138516594341. The reversal of 138516594336 is 633495615831.

138516594336 is a `hidden beast` number, since 1 + 3 + 8 + 5 + 16 + 594 + 3 + 36 = 666.

It can be written as a sum of positive squares in only one way, i.e., 100552410000 + 37964184336 = 317100^2 + 194844^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 240479911 + ... + 240480486.

Almost surely, 2^138516594336 is an apocalyptic number.

138516594336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

138516594336 is an abundant number, since it is smaller than the sum of its proper divisors (255389971626).

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

138516594336 is a wasteful number, since it uses less digits than its factorization.

138516594336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480960413 (or 480960402 counting only the distinct ones).

The product of its digits is 6998400, while the sum is 54.

The spelling of 138516594336 in words is "one hundred thirty-eight billion, five hundred sixteen million, five hundred ninety-four thousand, three hundred thirty-six".