132294144 has 80 divisors (see below), whose sum is σ = 360816192. Its totient is φ = 43051008.

The previous prime is 132294133. The next prime is 132294161. The reversal of 132294144 is 441492231.

It is a super-3 number, since 3×132294144³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65047 + ... + 67049.

Almost surely, 2^132294144 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 132294144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180408096).

132294144 is an abundant number, since it is smaller than the sum of its proper divisors (228522048).

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

132294144 is an equidigital number, since it uses as much as digits as its factorization.

132294144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2067 (or 2051 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 132294144 is about 11501.9191442124. The cubic root of 132294144 is about 509.5422574878.

The spelling of 132294144 in words is "one hundred thirty-two million, two hundred ninety-four thousand, one hundred forty-four".