138637901160 has 512 divisors, whose sum is σ = 547817472000. Its totient is φ = 30811622400.

The previous prime is 138637901107. The next prime is 138637901183. The reversal of 138637901160 is 61109736831.

138637901160 is a `hidden beast` number, since 1 + 3 + 8 + 637 + 9 + 0 + 1 + 1 + 6 + 0 = 666.

138637901160 is digitally balanced in base 2, because in such base 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 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 127 ways as a sum of consecutive naturals, for example, 6987414 + ... + 7007226.

It is an arithmetic number, because the mean of its divisors is an integer number (1069956000).

Almost surely, 2^138637901160 is an apocalyptic number.

138637901160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138637901160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273908736000).

138637901160 is an abundant number, since it is smaller than the sum of its proper divisors (409179570840).

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

138637901160 is a wasteful number, since it uses less digits than its factorization.

138637901160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19894 (or 19884 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 138637901160 in words is "one hundred thirty-eight billion, six hundred thirty-seven million, nine hundred one thousand, one hundred sixty".