138361420800 has 792 divisors, whose sum is σ = 516109487712. Its totient is φ = 35389440000.

The previous prime is 138361420789. The next prime is 138361420829. The reversal of 138361420800 is 8024163831.

138361420800 is a `hidden beast` number, since 1 + 38 + 3 + 614 + 2 + 0 + 8 + 0 + 0 = 666.

138361420800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 916300725 + ... + 916300875.

Almost surely, 2^138361420800 is an apocalyptic number.

138361420800 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 138361420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258054743856).

138361420800 is an abundant number, since it is smaller than the sum of its proper divisors (377748066912).

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

138361420800 is a wasteful number, since it uses less digits than its factorization.

138361420800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 138361420800 in words is "one hundred thirty-eight billion, three hundred sixty-one million, four hundred twenty thousand, eight hundred".