180252 has 24 divisors (see below), whose sum is σ = 467600. Its totient is φ = 60048.

The previous prime is 180247. The next prime is 180259. The reversal of 180252 is 252081.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180259) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 727 + ... + 942.

2¹⁸⁰²⁵² is an apocalyptic number.

180252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

180252 is an abundant number, since it is smaller than the sum of its proper divisors (287348).

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

180252 is a wasteful number, since it uses less digits than its factorization.

180252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1682 (or 1674 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 180252 is about 424.5609496880. The cubic root of 180252 is about 56.4884984550.

The spelling of 180252 in words is "one hundred eighty thousand, two hundred fifty-two".