138129868800 has 1728 divisors, whose sum is σ = 655889270400. Its totient is φ = 26895974400.

The previous prime is 138129868753. The next prime is 138129868847. The reversal of 138129868800 is 8868921831.

It is an interprime number because it is at equal distance from previous prime (138129868753) and next prime (138129868847).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 603187086 + ... + 603187314.

It is an arithmetic number, because the mean of its divisors is an integer number (379565550).

Almost surely, 2^138129868800 is an apocalyptic number.

138129868800 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 138129868800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327944635200).

138129868800 is an abundant number, since it is smaller than the sum of its proper divisors (517759401600).

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

138129868800 is a wasteful number, since it uses less digits than its factorization.

138129868800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 54.

The spelling of 138129868800 in words is "one hundred thirty-eight billion, one hundred twenty-nine million, eight hundred sixty-eight thousand, eight hundred".