132853284 has 120 divisors (see below), whose sum is σ = 363281688. Its totient is φ = 42301440.

The previous prime is 132853277. The next prime is 132853319. The reversal of 132853284 is 482358231.

132853284 is a `hidden beast` number, since 1 + 328 + 5 + 328 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4665600 + 128187684 = 2160^2 + 11322^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (46080) is a multiple of the sum of its prime divisors (256).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 969664 + ... + 969800.

Almost surely, 2^132853284 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 132853284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181640844).

132853284 is an abundant number, since it is smaller than the sum of its proper divisors (230428404).

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

132853284 is a wasteful number, since it uses less digits than its factorization.

132853284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 256 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 132853284 is about 11526.1998941542. The cubic root of 132853284 is about 510.2591070919.

The spelling of 132853284 in words is "one hundred thirty-two million, eight hundred fifty-three thousand, two hundred eighty-four".