138712988160 has 640 divisors, whose sum is σ = 513659266560. Its totient is φ = 35449602048.

The previous prime is 138712988159. The next prime is 138712988171. The reversal of 138712988160 is 61889217831.

138712988160 is a `hidden beast` number, since 1 + 387 + 1 + 29 + 88 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 138712988097 and 138712988106.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 186692749 + ... + 186693491.

It is an arithmetic number, because the mean of its divisors is an integer number (802592604).

Almost surely, 2^138712988160 is an apocalyptic number.

138712988160 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 138712988160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256829633280).

138712988160 is an abundant number, since it is smaller than the sum of its proper divisors (374946278400).

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

138712988160 is an equidigital number, since it uses as much as digits as its factorization.

138712988160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 885 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 54.

The spelling of 138712988160 in words is "one hundred thirty-eight billion, seven hundred twelve million, nine hundred eighty-eight thousand, one hundred sixty".