138158764800 has 432 divisors, whose sum is σ = 522695212032. Its totient is φ = 31481856000.

The previous prime is 138158764781. The next prime is 138158764823. The reversal of 138158764800 is 8467851831.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49323400 + ... + 49326200.

Almost surely, 2^138158764800 is an apocalyptic number.

138158764800 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 138158764800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261347606016).

138158764800 is an abundant number, since it is smaller than the sum of its proper divisors (384536447232).

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

138158764800 is a wasteful number, since it uses less digits than its factorization.

138158764800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3204 (or 3185 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 51.

The spelling of 138158764800 in words is "one hundred thirty-eight billion, one hundred fifty-eight million, seven hundred sixty-four thousand, eight hundred".