139988468736000 has 5376 divisors, whose sum is σ = 610867117486080. Its totient is φ = 30576476160000.

The previous prime is 139988468735971. The next prime is 139988468736071. The reversal of 139988468736000 is 637864889931.

139988468736000 is a `hidden beast` number, since 1 + 3 + 9 + 9 + 8 + 8 + 4 + 6 + 8 + 7 + 3 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 139988468736000.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3414352895980 + ... + 3414352896020.

It is an arithmetic number, because the mean of its divisors is an integer number (113628556080).

Almost surely, 2^{139988468736000} is an apocalyptic number.

139988468736000 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 139988468736000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305433558743040).

139988468736000 is an abundant number, since it is smaller than the sum of its proper divisors (470878648750080).

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

139988468736000 is a wasteful number, since it uses less digits than its factorization.

139988468736000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 376233984, while the sum is 72.

The spelling of 139988468736000 in words is "one hundred thirty-nine trillion, nine hundred eighty-eight billion, four hundred sixty-eight million, seven hundred thirty-six thousand".