132288 has 56 divisors (see below), whose sum is σ = 384048. Its totient is φ = 39936.

The previous prime is 132287. The next prime is 132299. The reversal of 132288 is 882231.

It is a super-2 number, since 2×132288² = 35000229888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (132283) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2470 + ... + 2522.

It is an arithmetic number, because the mean of its divisors is an integer number (6858).

2¹³²²⁸⁸ 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 132288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192024).

132288 is an abundant number, since it is smaller than the sum of its proper divisors (251760).

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

132288 is a wasteful number, since it uses less digits than its factorization.

132288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 71 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

The square root of 132288 is about 363.7141734934. The cubic root of 132288 is about 50.9534369318.

The spelling of 132288 in words is "one hundred thirty-two thousand, two hundred eighty-eight".