138652375680 has 2304 divisors, whose sum is σ = 658252707840. Its totient is φ = 26568622080.

The previous prime is 138652375663. The next prime is 138652375691. The reversal of 138652375680 is 86573256831.

138652375680 is a `hidden beast` number, since 1 + 38 + 6 + 523 + 7 + 5 + 6 + 80 = 666.

138652375680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2616082534 + ... + 2616082586.

It is an arithmetic number, because the mean of its divisors is an integer number (285699960).

Almost surely, 2^138652375680 is an apocalyptic number.

138652375680 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 138652375680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329126353920).

138652375680 is an abundant number, since it is smaller than the sum of its proper divisors (519600332160).

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

138652375680 is a wasteful number, since it uses less digits than its factorization.

138652375680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 138652375680 in words is "one hundred thirty-eight billion, six hundred fifty-two million, three hundred seventy-five thousand, six hundred eighty".