252144540200 has 96 divisors (see below), whose sum is σ = 671451816000. Its totient is φ = 86260170240.

The previous prime is 252144540199. The next prime is 252144540227. The reversal of 252144540200 is 2045441252.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 442751 + ... + 836849.

It is an arithmetic number, because the mean of its divisors is an integer number (6994289750).

Almost surely, 2^252144540200 is an apocalyptic number.

252144540200 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 252144540200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335725908000).

252144540200 is an abundant number, since it is smaller than the sum of its proper divisors (419307275800).

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

252144540200 is a wasteful number, since it uses less digits than its factorization.

252144540200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394579 (or 394570 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 29.

Adding to 252144540200 its reverse (2045441252), we get a palindrome (254189981452).

The spelling of 252144540200 in words is "two hundred fifty-two billion, one hundred forty-four million, five hundred forty thousand, two hundred".