132584900 has 36 divisors (see below), whose sum is σ = 328812288. Its totient is φ = 45457440.

The previous prime is 132584891. The next prime is 132584927. The reversal of 132584900 is 9485231.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 94004 + ... + 95403.

Almost surely, 2^132584900 is an apocalyptic number.

132584900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132584900 is an abundant number, since it is smaller than the sum of its proper divisors (196227388).

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

132584900 is a wasteful number, since it uses less digits than its factorization.

132584900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189428 (or 189421 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 132584900 is about 11514.5516630045. The cubic root of 132584900 is about 509.9152749170.

It can be divided in two parts, 1325 and 84900, that multiplied together give a triangular number (112492500 = T₁₄₉₉₉).

The spelling of 132584900 in words is "one hundred thirty-two million, five hundred eighty-four thousand, nine hundred".