252164766132 has 144 divisors (see below), whose sum is σ = 670159805952. Its totient is φ = 79794823680.

The previous prime is 252164766107. The next prime is 252164766151. The reversal of 252164766132 is 231667461252.

252164766132 is a `hidden beast` number, since 2 + 5 + 21 + 6 + 4 + 7 + 6 + 613 + 2 = 666.

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, 62153448 + ... + 62157504.

Almost surely, 2^252164766132 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 252164766132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335079902976).

252164766132 is an abundant number, since it is smaller than the sum of its proper divisors (417995039820).

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

252164766132 is a wasteful number, since it uses less digits than its factorization.

252164766132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4638 (or 4633 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The spelling of 252164766132 in words is "two hundred fifty-two billion, one hundred sixty-four million, seven hundred sixty-six thousand, one hundred thirty-two".