252144200 has 144 divisors (see below), whose sum is σ = 744260400. Its totient is φ = 78556800.

The previous prime is 252144199. The next prime is 252144247. The reversal of 252144200 is 2441252.

It is a happy number.

252144200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 106631 + ... + 108969.

It is an arithmetic number, because the mean of its divisors is an integer number (5168475).

Almost surely, 2^252144200 is an apocalyptic number.

252144200 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 252144200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372130200).

252144200 is an abundant number, since it is smaller than the sum of its proper divisors (492116200).

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

252144200 is a wasteful number, since it uses less digits than its factorization.

252144200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2380 (or 2364 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 252144200 is about 15879.0490899172. The cubic root of 252144200 is about 631.7564155036.

Adding to 252144200 its reverse (2441252), we get a palindrome (254585452).

The spelling of 252144200 in words is "two hundred fifty-two million, one hundred forty-four thousand, two hundred".