139825140624 has 675 divisors, whose sum is σ = 475628739267. Its totient is φ = 39630809088.

The previous prime is 139825140563. The next prime is 139825140647. The reversal of 139825140624 is 426041528931.

The square root of 139825140624 is 373932.

It is a perfect power (a square), and thus also a powerful number.

139825140624 is a `hidden beast` number, since 1 + 3 + 9 + 8 + 2 + 5 + 14 + 0 + 624 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1262523024 + 138562617600 = 35532^2 + 372240^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 139825140624.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 2975002969 + ... + 2975003015.

Almost surely, 2^139825140624 is an apocalyptic number.

139825140624 is the 373932-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 139825140624

139825140624 is an abundant number, since it is smaller than the sum of its proper divisors (335803598643).

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

139825140624 is a wasteful number, since it uses less digits than its factorization.

139825140624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 139825140624 in words is "one hundred thirty-nine billion, eight hundred twenty-five million, one hundred forty thousand, six hundred twenty-four".