180144972 has 120 divisors (see below), whose sum is σ = 549533600. Its totient is φ = 51438240.

The previous prime is 180144941. The next prime is 180145001. The reversal of 180144972 is 279441081.

180144972 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 110322 + ... + 111942.

Almost surely, 2^180144972 is an apocalyptic number.

180144972 is a gapful number since it is divisible by the number (12) 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 180144972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274766800).

180144972 is an abundant number, since it is smaller than the sum of its proper divisors (369388628).

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

180144972 is a wasteful number, since it uses less digits than its factorization.

180144972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1658 (or 1633 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 180144972 is about 13421.8095650326. The cubic root of 180144972 is about 564.7731587356.

The spelling of 180144972 in words is "one hundred eighty million, one hundred forty-four thousand, nine hundred seventy-two".