138121157700 has 54 divisors (see below), whose sum is σ = 432933098234. Its totient is φ = 36832308480.

The previous prime is 138121157663. The next prime is 138121157701. The reversal of 138121157700 is 7751121831.

138121157700 is a `hidden beast` number, since 1 + 3 + 81 + 2 + 1 + 1 + 577 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 11830477824 + 126290679876 = 108768^2 + 355374^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (138121157701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 76733077 + ... + 76734876.

Almost surely, 2^138121157700 is an apocalyptic number.

138121157700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138121157700 is an abundant number, since it is smaller than the sum of its proper divisors (294811940534).

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

138121157700 is a wasteful number, since it uses less digits than its factorization.

138121157700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153467973 (or 153467963 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 36.

The spelling of 138121157700 in words is "one hundred thirty-eight billion, one hundred twenty-one million, one hundred fifty-seven thousand, seven hundred".