138817758041136 has 160 divisors (see below), whose sum is σ = 423538736518080. Its totient is φ = 43381210742784.

The previous prime is 138817758041087. The next prime is 138817758041159. The reversal of 138817758041136 is 631140857718831.

138817758041136 is a `hidden beast` number, since 1 + 3 + 8 + 8 + 1 + 7 + 7 + 580 + 4 + 11 + 36 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34887301 + ... + 38662116.

It is an arithmetic number, because the mean of its divisors is an integer number (2647117103238).

Almost surely, 2^{138817758041136} is an apocalyptic number.

138817758041136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

138817758041136 is an abundant number, since it is smaller than the sum of its proper divisors (284720978476944).

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

138817758041136 is a wasteful number, since it uses less digits than its factorization.

138817758041136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73549708 (or 73549696 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 63.

The spelling of 138817758041136 in words is "one hundred thirty-eight trillion, eight hundred seventeen billion, seven hundred fifty-eight million, forty-one thousand, one hundred thirty-six".