138807238752 has 432 divisors, whose sum is σ = 495275141088. Its totient is φ = 36100546560.

The previous prime is 138807238733. The next prime is 138807238771. The reversal of 138807238752 is 257832708831.

138807238752 is a `hidden beast` number, since 138 + 80 + 7 + 2 + 387 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (138807238733) and next prime (138807238771).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 24868602 + ... + 24874182.

It is an arithmetic number, because the mean of its divisors is an integer number (1146470234).

Almost surely, 2^138807238752 is an apocalyptic number.

138807238752 is a gapful number since it is divisible by the number (12) 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 138807238752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247637570544).

138807238752 is an abundant number, since it is smaller than the sum of its proper divisors (356467902336).

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

138807238752 is a wasteful number, since it uses less digits than its factorization.

138807238752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5703 (or 5679 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 138807238752 in words is "one hundred thirty-eight billion, eight hundred seven million, two hundred thirty-eight thousand, seven hundred fifty-two".