132114528 has 216 divisors, whose sum is σ = 469005264. Its totient is φ = 34352640.

The previous prime is 132114523. The next prime is 132114551. The reversal of 132114528 is 825411231.

132114528 is a `hidden beast` number, since 132 + 1 + 1 + 4 + 528 = 666.

Its product of digits (1920) is a multiple of the sum of its prime divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132114523) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1860733 + ... + 1860803.

Almost surely, 2^132114528 is an apocalyptic number.

132114528 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 132114528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234502632).

132114528 is an abundant number, since it is smaller than the sum of its proper divisors (336890736).

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

132114528 is a wasteful number, since it uses less digits than its factorization.

132114528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 96 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 132114528 is about 11494.1084038737. The cubic root of 132114528 is about 509.3115508960.

Adding to 132114528 its reverse (825411231), we get a palindrome (957525759).

The spelling of 132114528 in words is "one hundred thirty-two million, one hundred fourteen thousand, five hundred twenty-eight".