138971980800 has 528 divisors, whose sum is σ = 540409965120. Its totient is φ = 34876293120.

The previous prime is 138971980739. The next prime is 138971980831. The reversal of 138971980800 is 8089179831.

It is a super-2 number, since 2×138971980800² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 11744487 + ... + 11756313.

Almost surely, 2^138971980800 is an apocalyptic number.

138971980800 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 138971980800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270204982560).

138971980800 is an abundant number, since it is smaller than the sum of its proper divisors (401437984320).

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

138971980800 is a wasteful number, since it uses less digits than its factorization.

138971980800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11883 (or 11854 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 54.

The spelling of 138971980800 in words is "one hundred thirty-eight billion, nine hundred seventy-one million, nine hundred eighty thousand, eight hundred".