180132264 has 96 divisors (see below), whose sum is σ = 528353280. Its totient is φ = 55112832.

The previous prime is 180132259. The next prime is 180132287. The reversal of 180132264 is 462231081.

180132264 is digitally balanced in base 2, 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 23 ways as a sum of consecutive naturals, for example, 208297 + ... + 209159.

It is an arithmetic number, because the mean of its divisors is an integer number (5503680).

Almost surely, 2^180132264 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 180132264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264176640).

180132264 is an abundant number, since it is smaller than the sum of its proper divisors (348221016).

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

180132264 is a wasteful number, since it uses less digits than its factorization.

180132264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1111 (or 1104 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 180132264 is about 13421.3361480890. The cubic root of 180132264 is about 564.7598781243.

The spelling of 180132264 in words is "one hundred eighty million, one hundred thirty-two thousand, two hundred sixty-four".