132528528 has 120 divisors (see below), whose sum is σ = 417488160. Its totient is φ = 39919680.

The previous prime is 132528527. The next prime is 132528541. The reversal of 132528528 is 825825231.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 132528492 and 132528501.

It is not an unprimeable number, because it can be changed into a prime (132528527) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 793501 + ... + 793667.

It is an arithmetic number, because the mean of its divisors is an integer number (3479068).

Almost surely, 2^132528528 is an apocalyptic number.

132528528 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132528528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208744080).

132528528 is an abundant number, since it is smaller than the sum of its proper divisors (284959632).

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

132528528 is a wasteful number, since it uses less digits than its factorization.

132528528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 183 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 132528528 is about 11512.1035436622. The cubic root of 132528528 is about 509.8429966542.

The spelling of 132528528 in words is "one hundred thirty-two million, five hundred twenty-eight thousand, five hundred twenty-eight".