138744103680 has 1728 divisors, whose sum is σ = 627651897600. Its totient is φ = 28092137472.

The previous prime is 138744103679. The next prime is 138744103703. The reversal of 138744103680 is 86301447831.

138744103680 is a `hidden beast` number, since 138 + 74 + 410 + 36 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1900604124 + ... + 1900604196.

Almost surely, 2^138744103680 is an apocalyptic number.

138744103680 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 138744103680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313825948800).

138744103680 is an abundant number, since it is smaller than the sum of its proper divisors (488907793920).

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

138744103680 is a wasteful number, since it uses less digits than its factorization.

138744103680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 138744103680 in words is "one hundred thirty-eight billion, seven hundred forty-four million, one hundred three thousand, six hundred eighty".