138643660800 has 336 divisors, whose sum is σ = 509376304080. Its totient is φ = 36970168320.

The previous prime is 138643660759. The next prime is 138643660811. The reversal of 138643660800 is 8066346831.

138643660800 is a `hidden beast` number, since 1 + 3 + 8 + 6 + 4 + 36 + 608 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5517064 + ... + 5542136.

It is an arithmetic number, because the mean of its divisors is an integer number (1516000905).

Almost surely, 2^138643660800 is an apocalyptic number.

138643660800 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 138643660800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254688152040).

138643660800 is an abundant number, since it is smaller than the sum of its proper divisors (370732643280).

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

138643660800 is an equidigital number, since it uses as much as digits as its factorization.

138643660800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25118 (or 25083 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 138643660800 in words is "one hundred thirty-eight billion, six hundred forty-three million, six hundred sixty thousand, eight hundred".