138055213213632 has 168 divisors, whose sum is σ = 464890472046000. Its totient is φ = 38616842833920.

The previous prime is 138055213213613. The next prime is 138055213213727. The reversal of 138055213213632 is 236312312550831.

138055213213632 is a `hidden beast` number, since 1 + 3 + 8 + 0 + 5 + 5 + 2 + 1 + 3 + 2 + 1 + 3 + 632 = 666.

It is a super-2 number, since 2×138055213213632² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 837956757 + ... + 838121492.

It is an arithmetic number, because the mean of its divisors is an integer number (2767205190750).

Almost surely, 2^{138055213213632} is an apocalyptic number.

138055213213632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

138055213213632 is an abundant number, since it is smaller than the sum of its proper divisors (326835258832368).

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

138055213213632 is a wasteful number, since it uses less digits than its factorization.

138055213213632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1676078291 (or 1676078278 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 138055213213632 in words is "one hundred thirty-eight trillion, fifty-five billion, two hundred thirteen million, two hundred thirteen thousand, six hundred thirty-two".