132782800 has 30 divisors (see below), whose sum is σ = 319011638. Its totient is φ = 53112960.

The previous prime is 132782777. The next prime is 132782803. The reversal of 132782800 is 8287231.

It can be written as a sum of positive squares in 3 ways, for example, as 5363856 + 127418944 = 2316^2 + 11288^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132782803) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 165579 + ... + 166378.

Almost surely, 2^132782800 is an apocalyptic number.

132782800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132782800 is an abundant number, since it is smaller than the sum of its proper divisors (186228838).

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

132782800 is a wasteful number, since it uses less digits than its factorization.

132782800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331975 (or 331964 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 31.

The square root of 132782800 is about 11523.1419326501. The cubic root of 132782800 is about 510.1688534828.

The spelling of 132782800 in words is "one hundred thirty-two million, seven hundred eighty-two thousand, eight hundred".