252149076144 has 80 divisors (see below), whose sum is σ = 827155709440. Its totient is φ = 72042592320.

The previous prime is 252149076139. The next prime is 252149076161. The reversal of 252149076144 is 441670941252.

252149076144 is a `hidden beast` number, since 2 + 5 + 21 + 4 + 9 + 0 + 7 + 614 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 252149076144.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41688292 + ... + 41694339.

It is an arithmetic number, because the mean of its divisors is an integer number (10339446368).

Almost surely, 2^252149076144 is an apocalyptic number.

252149076144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

252149076144 is an abundant number, since it is smaller than the sum of its proper divisors (575006633296).

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

252149076144 is a wasteful number, since it uses less digits than its factorization.

252149076144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83382655 (or 83382643 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 252149076144 in words is "two hundred fifty-two billion, one hundred forty-nine million, seventy-six thousand, one hundred forty-four".