180735120 has 120 divisors (see below), whose sum is σ = 609800256. Its totient is φ = 47971584.

The previous prime is 180735101. The next prime is 180735151. The reversal of 180735120 is 21537081.

180735120 is a `hidden beast` number, since 1 + 80 + 73 + 512 + 0 = 666.

180735120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 203317 + ... + 204203.

Almost surely, 2^180735120 is an apocalyptic number.

180735120 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 180735120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304900128).

180735120 is an abundant number, since it is smaller than the sum of its proper divisors (429065136).

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

180735120 is a wasteful number, since it uses less digits than its factorization.

180735120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1189 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 180735120 is about 13443.7762552045. The cubic root of 180735120 is about 565.3892115518.

The spelling of 180735120 in words is "one hundred eighty million, seven hundred thirty-five thousand, one hundred twenty".