132528 has 40 divisors (see below), whose sum is σ = 374976. Its totient is φ = 40000.

The previous prime is 132527. The next prime is 132529. The reversal of 132528 is 825231.

It is an interprime number because it is at equal distance from previous prime (132527) and next prime (132529).

It is a Smith number, since the sum of its digits (21) coincides with the sum of the digits of its prime factors.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 132528.

It is not an unprimeable number, because it can be changed into a prime (132523) 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, 403 + ... + 653.

2¹³²⁵²⁸ 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 132528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187488).

132528 is an abundant number, since it is smaller than the sum of its proper divisors (242448).

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

132528 is a wasteful number, since it uses less digits than its factorization.

132528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 267 counting only the distinct ones).

The product of its digits is 480, while the sum is 21.

The square root of 132528 is about 364.0439533902. The cubic root of 132528 is about 50.9842319574.

Adding to 132528 its reverse (825231), we get a palindrome (957759).

It can be divided in two parts, 132 and 528, that multiplied together give a palindrome (69696).

The spelling of 132528 in words is "one hundred thirty-two thousand, five hundred twenty-eight".