252157132800 has 576 divisors, whose sum is σ = 943175525760. Its totient is φ = 64275087360.

The previous prime is 252157132793. The next prime is 252157132807. The reversal of 252157132800 is 8231751252.

252157132800 is a `hidden beast` number, since 2 + 5 + 2 + 1 + 571 + 3 + 2 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (252157132793) and next prime (252157132807).

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252157132807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 169573657 + ... + 169575143.

It is an arithmetic number, because the mean of its divisors is an integer number (1637457510).

Almost surely, 2^252157132800 is an apocalyptic number.

252157132800 is a gapful number since it is divisible by the number (20) 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 252157132800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471587762880).

252157132800 is an abundant number, since it is smaller than the sum of its proper divisors (691018392960).

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

252157132800 is a wasteful number, since it uses less digits than its factorization.

252157132800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1556 (or 1520 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 252157132800 in words is "two hundred fifty-two billion, one hundred fifty-seven million, one hundred thirty-two thousand, eight hundred".