252154153200 has 120 divisors (see below), whose sum is σ = 835586809200. Its totient is φ = 64922439680.

The previous prime is 252154153193. The next prime is 252154153231. The reversal of 252154153200 is 2351451252.

252154153200 is digitally balanced in base 2, 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 (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3588105 + ... + 3657704.

It is an arithmetic number, because the mean of its divisors is an integer number (6963223410).

Almost surely, 2^252154153200 is an apocalyptic number.

252154153200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252154153200 is an abundant number, since it is smaller than the sum of its proper divisors (583432656000).

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

252154153200 is a wasteful number, since it uses less digits than its factorization.

252154153200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7245859 (or 7245848 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The spelling of 252154153200 in words is "two hundred fifty-two billion, one hundred fifty-four million, one hundred fifty-three thousand, two hundred".