252147168 has 240 divisors, whose sum is σ = 913540320. Its totient is φ = 66438144.

The previous prime is 252147143. The next prime is 252147173. The reversal of 252147168 is 861741252.

252147168 is a `hidden beast` number, since 2 + 521 + 4 + 71 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 235338 + ... + 236406.

It is an arithmetic number, because the mean of its divisors is an integer number (3806418).

Almost surely, 2^252147168 is an apocalyptic number.

252147168 is a gapful number since it is divisible by the number (28) 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 252147168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456770160).

252147168 is an abundant number, since it is smaller than the sum of its proper divisors (661393152).

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

252147168 is a wasteful number, since it uses less digits than its factorization.

252147168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1111 (or 1094 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 252147168 is about 15879.1425461201. The cubic root of 252147168 is about 631.7588943043.

The spelling of 252147168 in words is "two hundred fifty-two million, one hundred forty-seven thousand, one hundred sixty-eight".