252160128 has 288 divisors, whose sum is σ = 839464080. Its totient is φ = 75271680.

The previous prime is 252160093. The next prime is 252160141. The reversal of 252160128 is 821061252.

It is a happy number.

252160128 is a `hidden beast` number, since 2 + 52 + 1 + 601 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3763551 + ... + 3763617.

Almost surely, 2^252160128 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 252160128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419732040).

252160128 is an abundant number, since it is smaller than the sum of its proper divisors (587303952).

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

252160128 is an equidigital number, since it uses as much as digits as its factorization.

252160128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 252160128 is about 15879.5506233646. The cubic root of 252160128 is about 631.7697179502.

The spelling of 252160128 in words is "two hundred fifty-two million, one hundred sixty thousand, one hundred twenty-eight".