139041915264 has 384 divisors, whose sum is σ = 488740262400. Its totient is φ = 37036081152.

The previous prime is 139041915211. The next prime is 139041915277. The reversal of 139041915264 is 462519140931.

139041915264 is a `hidden beast` number, since 1 + 39 + 0 + 4 + 1 + 91 + 526 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

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, 14663677 + ... + 14673155.

It is an arithmetic number, because the mean of its divisors is an integer number (1272761100).

Almost surely, 2^139041915264 is an apocalyptic number.

139041915264 is a gapful number since it is divisible by the number (14) 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 139041915264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244370131200).

139041915264 is an abundant number, since it is smaller than the sum of its proper divisors (349698347136).

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

139041915264 is a wasteful number, since it uses less digits than its factorization.

139041915264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9630 (or 9615 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 139041915264 in words is "one hundred thirty-nine billion, forty-one million, nine hundred fifteen thousand, two hundred sixty-four".