139713057792000 has 7168 divisors, whose sum is σ = 697191697612800. Its totient is φ = 26754416640000.

The previous prime is 139713057791933. The next prime is 139713057792013. The reversal of 139713057792000 is 297750317931.

139713057792000 is a `hidden beast` number, since 1 + 39 + 7 + 1 + 30 + 577 + 9 + 2 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (7168).

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 511 ways as a sum of consecutive naturals, for example, 1913877503964 + ... + 1913877504036.

Almost surely, 2^{139713057792000} is an apocalyptic number.

139713057792000 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 139713057792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348595848806400).

139713057792000 is an abundant number, since it is smaller than the sum of its proper divisors (557478639820800).

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

139713057792000 is a wasteful number, since it uses less digits than its factorization.

139713057792000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 2500470, while the sum is 54.

The spelling of 139713057792000 in words is "one hundred thirty-nine trillion, seven hundred thirteen billion, fifty-seven million, seven hundred ninety-two thousand".