138377086200 has 144 divisors (see below), whose sum is σ = 492052747680. Its totient is φ = 34729927680.

The previous prime is 138377086189. The next prime is 138377086229. The reversal of 138377086200 is 2680773831.

138377086200 is a `hidden beast` number, since 13 + 8 + 3 + 7 + 7 + 0 + 8 + 620 + 0 = 666.

138377086200 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2230464 + ... + 2291663.

It is an arithmetic number, because the mean of its divisors is an integer number (3417032970).

Almost surely, 2^138377086200 is an apocalyptic number.

138377086200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138377086200 is an abundant number, since it is smaller than the sum of its proper divisors (353675661480).

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

138377086200 is a wasteful number, since it uses less digits than its factorization.

138377086200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4522166 (or 4522154 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 138377086200 in words is "one hundred thirty-eight billion, three hundred seventy-seven million, eighty-six thousand, two hundred".