132573312 has 96 divisors (see below), whose sum is σ = 384447180. Its totient is φ = 43849728.

The previous prime is 132573289. The next prime is 132573373. The reversal of 132573312 is 213375231.

132573312 is a `hidden beast` number, since 1 + 325 + 7 + 331 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 126697536 + 5875776 = 11256^2 + 2424^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 180498 + ... + 181230.

Almost surely, 2^132573312 is an apocalyptic number.

132573312 is a gapful number since it is divisible by the number (12) 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 132573312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192223590).

132573312 is an abundant number, since it is smaller than the sum of its proper divisors (251873868).

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

132573312 is a wasteful number, since it uses less digits than its factorization.

132573312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910 (or 895 counting only the distinct ones).

The product of its digits is 3780, while the sum is 27.

The square root of 132573312 is about 11514.0484626390. The cubic root of 132573312 is about 509.9004188503.

The spelling of 132573312 in words is "one hundred thirty-two million, five hundred seventy-three thousand, three hundred twelve".