138759363832320 has 4320 divisors, whose sum is σ = 640729478188800. Its totient is φ = 27718225920000.

The previous prime is 138759363832301. The next prime is 138759363832321. The reversal of 138759363832320 is 23238363957831.

138759363832320 is a `hidden beast` number, since 1 + 3 + 8 + 7 + 593 + 6 + 3 + 8 + 3 + 2 + 32 + 0 = 666.

It is a super-2 number, since 2×138759363832320² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (138759363832321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 918936184245 + ... + 918936184395.

It is an arithmetic number, because the mean of its divisors is an integer number (148317008840).

Almost surely, 2^{138759363832320} is an apocalyptic number.

138759363832320 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 138759363832320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320364739094400).

138759363832320 is an abundant number, since it is smaller than the sum of its proper divisors (501970114356480).

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

138759363832320 is a wasteful number, since it uses less digits than its factorization.

138759363832320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 117573120, while the sum is 63.

The spelling of 138759363832320 in words is "one hundred thirty-eight trillion, seven hundred fifty-nine billion, three hundred sixty-three million, eight hundred thirty-two thousand, three hundred twenty".