132078032 has 40 divisors (see below), whose sum is σ = 272087496. Its totient is φ = 61894656.

The previous prime is 132078019. The next prime is 132078137. The reversal of 132078032 is 230870231.

It can be written as a sum of positive squares in 4 ways, for example, as 379456 + 131698576 = 616^2 + 11476^2 .

It is a junction number, because it is equal to n+sod(n) for n = 132077992 and 132078010.

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 7 ways as a sum of consecutive naturals, for example, 74468 + ... + 76220.

Almost surely, 2^132078032 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 132078032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136043748).

132078032 is an abundant number, since it is smaller than the sum of its proper divisors (140009464).

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

132078032 is a wasteful number, since it uses less digits than its factorization.

132078032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2055 (or 2049 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 132078032 is about 11492.5206982628. The cubic root of 132078032 is about 509.2646482919.

The spelling of 132078032 in words is "one hundred thirty-two million, seventy-eight thousand, thirty-two".