180852120 has 192 divisors, whose sum is σ = 644436000. Its totient is φ = 43782144.

The previous prime is 180852101. The next prime is 180852131. The reversal of 180852120 is 21258081.

180852120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 176971 + ... + 177989.

Almost surely, 2^180852120 is an apocalyptic number.

180852120 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 180852120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322218000).

180852120 is an abundant number, since it is smaller than the sum of its proper divisors (463583880).

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

180852120 is a wasteful number, since it uses less digits than its factorization.

180852120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1082 (or 1075 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 180852120 is about 13448.1270071337. The cubic root of 180852120 is about 565.5111879715.

The spelling of 180852120 in words is "one hundred eighty million, eight hundred fifty-two thousand, one hundred twenty".