180252000 has 192 divisors, whose sum is σ = 656510400. Its totient is φ = 48038400.

The previous prime is 180251977. The next prime is 180252019. The reversal of 180252000 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 an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107166 + ... + 108834.

It is an arithmetic number, because the mean of its divisors is an integer number (3419325).

Almost surely, 2^180252000 is an apocalyptic number.

180252000 is a gapful number since it is divisible by the number (10) 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 180252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328255200).

180252000 is an abundant number, since it is smaller than the sum of its proper divisors (476258400).

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

180252000 is a wasteful number, since it uses less digits than its factorization.

180252000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1703 (or 1679 counting only the distinct ones).

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

The square root of 180252000 is about 13425.7960657832. The cubic root of 180252000 is about 564.8849845502.

The spelling of 180252000 in words is "one hundred eighty million, two hundred fifty-two thousand".