180144168 has 64 divisors (see below), whose sum is σ = 476928000. Its totient is φ = 56544192.

The previous prime is 180144127. The next prime is 180144179. The reversal of 180144168 is 861441081.

180144168 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80521 + ... + 82727.

It is an arithmetic number, because the mean of its divisors is an integer number (7452000).

Almost surely, 2^180144168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 180144168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238464000).

180144168 is an abundant number, since it is smaller than the sum of its proper divisors (296783832).

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

180144168 is a wasteful number, since it uses less digits than its factorization.

180144168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2414 (or 2410 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The square root of 180144168 is about 13421.7796137472. The cubic root of 180144168 is about 564.7723185266.

The spelling of 180144168 in words is "one hundred eighty million, one hundred forty-four thousand, one hundred sixty-eight".