252152120 has 64 divisors (see below), whose sum is σ = 622274400. Its totient is φ = 91194880.

The previous prime is 252152107. The next prime is 252152141. The reversal of 252152120 is 21251252.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 252152092 and 252152101.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 85226 + ... + 88134.

Almost surely, 2^252152120 is an apocalyptic number.

252152120 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 252152120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311137200).

252152120 is an abundant number, since it is smaller than the sum of its proper divisors (370122280).

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

252152120 is a wasteful number, since it uses less digits than its factorization.

252152120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3128 (or 3124 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 252152120 is about 15879.2984731694. The cubic root of 252152120 is about 631.7630300498.

The spelling of 252152120 in words is "two hundred fifty-two million, one hundred fifty-two thousand, one hundred twenty".