139083316135920 has 640 divisors, whose sum is σ = 533792397600000. Its totient is φ = 33050000277504.

The previous prime is 139083316135909. The next prime is 139083316135931. The reversal of 139083316135920 is 29531613380931.

139083316135920 is a `hidden beast` number, since 1 + 3 + 9 + 0 + 8 + 3 + 31 + 6 + 13 + 592 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (139083316135909) and next prime (139083316135931).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7613068546 + ... + 7613086814.

It is an arithmetic number, because the mean of its divisors is an integer number (834050621250).

Almost surely, 2^{139083316135920} is an apocalyptic number.

139083316135920 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 139083316135920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266896198800000).

139083316135920 is an abundant number, since it is smaller than the sum of its proper divisors (394709081464080).

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

139083316135920 is a wasteful number, since it uses less digits than its factorization.

139083316135920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27682 (or 27670 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 54.

The spelling of 139083316135920 in words is "one hundred thirty-nine trillion, eighty-three billion, three hundred sixteen million, one hundred thirty-five thousand, nine hundred twenty".