180013288 has 128 divisors (see below), whose sum is σ = 439729920. Its totient is φ = 67184640.

The previous prime is 180013283. The next prime is 180013303. The reversal of 180013288 is 882310081.

180013288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (180013283) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1104295 + ... + 1104457.

It is an arithmetic number, because the mean of its divisors is an integer number (3435390).

Almost surely, 2^180013288 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 180013288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219864960).

180013288 is an abundant number, since it is smaller than the sum of its proper divisors (259716632).

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

180013288 is a wasteful number, since it uses less digits than its factorization.

180013288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 31.

The square root of 180013288 is about 13416.9030703810. The cubic root of 180013288 is about 564.6355108609.

The spelling of 180013288 in words is "one hundred eighty million, thirteen thousand, two hundred eighty-eight".