132782208 has 128 divisors (see below), whose sum is σ = 386473920. Its totient is φ = 40144896.

The previous prime is 132782179. The next prime is 132782239. The reversal of 132782208 is 802287231.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×132782208² = 35262229522710528, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 334266 + ... + 334662.

Almost surely, 2^132782208 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 132782208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193236960).

132782208 is an abundant number, since it is smaller than the sum of its proper divisors (253691712).

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

132782208 is a wasteful number, since it uses less digits than its factorization.

132782208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 132782208 is about 11523.1162451830. The cubic root of 132782208 is about 510.1680953012.

The spelling of 132782208 in words is "one hundred thirty-two million, seven hundred eighty-two thousand, two hundred eight".