138621327513600 has 288 divisors, whose sum is σ = 462711819548160. Its totient is φ = 36606792990720.

The previous prime is 138621327513587. The next prime is 138621327513601. The reversal of 138621327513600 is 6315723126831.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 138621327513600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138621327513601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11439817 + ... + 20201783.

It is an arithmetic number, because the mean of its divisors is an integer number (1606638262320).

Almost surely, 2^{138621327513600} is an apocalyptic number.

138621327513600 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 138621327513600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231355909774080).

138621327513600 is an abundant number, since it is smaller than the sum of its proper divisors (324090492034560).

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

138621327513600 is a wasteful number, since it uses less digits than its factorization.

138621327513600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8762105 (or 8762080 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The spelling of 138621327513600 in words is "one hundred thirty-eight trillion, six hundred twenty-one billion, three hundred twenty-seven million, five hundred thirteen thousand, six hundred".