180384144 has 40 divisors (see below), whose sum is σ = 493405920. Its totient is φ = 56590848.

The previous prime is 180384107. The next prime is 180384151. The reversal of 180384144 is 441483081.

It is a super-2 number, since 2×180384144² = 65076878813225472, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 109714 + ... + 111345.

It is an arithmetic number, because the mean of its divisors is an integer number (12335148).

Almost surely, 2^180384144 is an apocalyptic number.

It is an amenable number.

180384144 is an abundant number, since it is smaller than the sum of its proper divisors (313021776).

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

180384144 is a wasteful number, since it uses less digits than its factorization.

180384144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221087 (or 221081 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 180384144 is about 13430.7164365867. The cubic root of 180384144 is about 565.0229912068.

The spelling of 180384144 in words is "one hundred eighty million, three hundred eighty-four thousand, one hundred forty-four".