138731140800 has 1344 divisors, whose sum is σ = 606658314240. Its totient is φ = 30180003840.

The previous prime is 138731140799. The next prime is 138731140853. The reversal of 138731140800 is 8041137831.

It is a tau number, because it is divible by the number of its divisors (1344).

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

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 191 ways as a sum of consecutive naturals, for example, 611150287 + ... + 611150513.

Almost surely, 2^138731140800 is an apocalyptic number.

138731140800 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 138731140800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303329157120).

138731140800 is an abundant number, since it is smaller than the sum of its proper divisors (467927173440).

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

138731140800 is a wasteful number, since it uses less digits than its factorization.

138731140800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 138731140800 in words is "one hundred thirty-eight billion, seven hundred thirty-one million, one hundred forty thousand, eight hundred".