138764105506536 has 64 divisors (see below), whose sum is σ = 349370655006720. Its totient is φ = 45926935588800.

The previous prime is 138764105506459. The next prime is 138764105506603. The reversal of 138764105506536 is 635605501467831.

It is a self number, because there is not a number n which added to its sum of digits gives 138764105506536.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1167580 + ... + 16700043.

It is an arithmetic number, because the mean of its divisors is an integer number (5458916484480).

Almost surely, 2^{138764105506536} is an apocalyptic number.

It is an amenable number.

138764105506536 is an abundant number, since it is smaller than the sum of its proper divisors (210606549500184).

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

138764105506536 is a wasteful number, since it uses less digits than its factorization.

138764105506536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17869926 (or 17869922 counting only the distinct ones).

The product of its (nonzero) digits is 54432000, while the sum is 60.

The spelling of 138764105506536 in words is "one hundred thirty-eight trillion, seven hundred sixty-four billion, one hundred five million, five hundred six thousand, five hundred thirty-six".