132307776 has 112 divisors (see below), whose sum is σ = 405993600. Its totient is φ = 42172416.

The previous prime is 132307751. The next prime is 132307789. The reversal of 132307776 is 677703231.

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

It is a self number, because there is not a number n which added to its sum of digits gives 132307776.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38080 + ... + 41408.

Almost surely, 2^132307776 is an apocalyptic number.

132307776 is a gapful number since it is divisible by the number (16) 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 132307776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202996800).

132307776 is an abundant number, since it is smaller than the sum of its proper divisors (273685824).

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

132307776 is a wasteful number, since it uses less digits than its factorization.

132307776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3373 (or 3357 counting only the distinct ones).

The product of its (nonzero) digits is 37044, while the sum is 36.

The square root of 132307776 is about 11502.5117257058. The cubic root of 132307776 is about 509.5597584930.

The spelling of 132307776 in words is "one hundred thirty-two million, three hundred seven thousand, seven hundred seventy-six".