252180096 has 128 divisors (see below), whose sum is σ = 799027200. Its totient is φ = 68901888.

The previous prime is 252180043. The next prime is 252180107. The reversal of 252180096 is 690081252.

252180096 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

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, 59785 + ... + 63863.

It is an arithmetic number, because the mean of its divisors is an integer number (6242400).

Almost surely, 2^252180096 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 252180096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399513600).

252180096 is an abundant number, since it is smaller than the sum of its proper divisors (546847104).

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

252180096 is a wasteful number, since it uses less digits than its factorization.

252180096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4126 (or 4114 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 252180096 is about 15880.1793440754. The cubic root of 252180096 is about 631.7863936566.

The spelling of 252180096 in words is "two hundred fifty-two million, one hundred eighty thousand, ninety-six".