138371812800 has 504 divisors, whose sum is σ = 519413953296. Its totient is φ = 32053002240.

The previous prime is 138371812763. The next prime is 138371812807. The reversal of 138371812800 is 8218173831.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138371812807) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18029764 + ... + 18037436.

Almost surely, 2^138371812800 is an apocalyptic number.

138371812800 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 138371812800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259706976648).

138371812800 is an abundant number, since it is smaller than the sum of its proper divisors (381042140496).

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

138371812800 is a wasteful number, since it uses less digits than its factorization.

138371812800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7745 (or 7713 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 42.

The spelling of 138371812800 in words is "one hundred thirty-eight billion, three hundred seventy-one million, eight hundred twelve thousand, eight hundred".