252144000 has 384 divisors, whose sum is σ = 968086080. Its totient is φ = 62668800.

The previous prime is 252143989. The next prime is 252144023. The reversal of 252144000 is 441252.

252144000 is a `hidden beast` number, since 252 + 14 + 400 + 0 = 666.

252144000 is digitally balanced in base 3, because in such base 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 (384).

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 2447949 + ... + 2448051.

Almost surely, 2^252144000 is an apocalyptic number.

252144000 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 252144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484043040).

252144000 is an abundant number, since it is smaller than the sum of its proper divisors (715942080).

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

252144000 is a wasteful number, since it uses less digits than its factorization.

252144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 252144000 is about 15879.0427923096. The cubic root of 252144000 is about 631.7562484678.

Adding to 252144000 its reverse (441252), we get a palindrome (252585252).

The spelling of 252144000 in words is "two hundred fifty-two million, one hundred forty-four thousand".