138237580800 has 2400 divisors, whose sum is σ = 636557543424. Its totient is φ = 29196288000.

The previous prime is 138237580771. The next prime is 138237580841. The reversal of 138237580800 is 8085732831.

138237580800 is a `hidden beast` number, since 1 + 38 + 2 + 37 + 580 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2400).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 4459276785 + ... + 4459276815.

Almost surely, 2^138237580800 is an apocalyptic number.

138237580800 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 138237580800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318278771712).

138237580800 is an abundant number, since it is smaller than the sum of its proper divisors (498319962624).

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

138237580800 is a wasteful number, since it uses less digits than its factorization.

138237580800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 138237580800 in words is "one hundred thirty-eight billion, two hundred thirty-seven million, five hundred eighty thousand, eight hundred".