180357120 has 288 divisors, whose sum is σ = 664372800. Its totient is φ = 45121536.

The previous prime is 180357113. The next prime is 180357143. The reversal of 180357120 is 21753081.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1750989 + ... + 1751091.

It is an arithmetic number, because the mean of its divisors is an integer number (2306850).

Almost surely, 2^180357120 is an apocalyptic number.

180357120 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 180357120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332186400).

180357120 is an abundant number, since it is smaller than the sum of its proper divisors (484015680).

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

180357120 is a wasteful number, since it uses less digits than its factorization.

180357120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 132 counting only the distinct ones).

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

The square root of 180357120 is about 13429.7103468392. The cubic root of 180357120 is about 564.9947737528.

The spelling of 180357120 in words is "one hundred eighty million, three hundred fifty-seven thousand, one hundred twenty".