252150 has 36 divisors (see below), whose sum is σ = 640956. Its totient is φ = 65600.

The previous prime is 252143. The next prime is 252151. The reversal of 252150 is 51252.

It is a hoax number, since the sum of its digits (15) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252151) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6130 + ... + 6170.

252150 is a Friedman number, since it can be written as 205^2*(5+1), using all its digits and the basic arithmetic operations.

2²⁵²¹⁵⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320478).

252150 is an abundant number, since it is smaller than the sum of its proper divisors (388806).

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

252150 is a wasteful number, since it uses less digits than its factorization.

252150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 252150 is about 502.1453972706. The cubic root of 252150 is about 63.1761259503.

The spelling of 252150 in words is "two hundred fifty-two thousand, one hundred fifty".