139195380835584 has 1152 divisors, whose sum is σ = 443552578560000. Its totient is φ = 42960605478912.

The previous prime is 139195380835579. The next prime is 139195380835627. The reversal of 139195380835584 is 485538083591931.

139195380835584 is a `hidden beast` number, since 1 + 3 + 9 + 1 + 9 + 5 + 3 + 8 + 0 + 8 + 35 + 584 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 191465447829 + ... + 191465448555.

It is an arithmetic number, because the mean of its divisors is an integer number (385028280000).

Almost surely, 2^{139195380835584} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 139195380835584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221776289280000).

139195380835584 is an abundant number, since it is smaller than the sum of its proper divisors (304357197724416).

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

139195380835584 is a wasteful number, since it uses less digits than its factorization.

139195380835584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1120 (or 1100 counting only the distinct ones).

The product of its (nonzero) digits is 559872000, while the sum is 72.

The spelling of 139195380835584 in words is "one hundred thirty-nine trillion, one hundred ninety-five billion, three hundred eighty million, eight hundred thirty-five thousand, five hundred eighty-four".