132078528 has 84 divisors (see below), whose sum is σ = 391683240. Its totient is φ = 42502656.

The previous prime is 132078511. The next prime is 132078533. The reversal of 132078528 is 825870231.

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 = 132078492 and 132078501.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12751 + ... + 20657.

Almost surely, 2^132078528 is an apocalyptic number.

132078528 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 132078528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195841620).

132078528 is an abundant number, since it is smaller than the sum of its proper divisors (259604712).

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

132078528 is a wasteful number, since it uses less digits than its factorization.

132078528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7954 (or 7941 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 132078528 is about 11492.5422774946. The cubic root of 132078528 is about 509.2652857811.

The spelling of 132078528 in words is "one hundred thirty-two million, seventy-eight thousand, five hundred twenty-eight".