132633360 has 120 divisors (see below), whose sum is σ = 456392664. Its totient is φ = 34498560.

The previous prime is 132633353. The next prime is 132633377. The reversal of 132633360 is 63336231.

132633360 is a `hidden beast` number, since 1 + 326 + 3 + 336 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 20358144 + 112275216 = 4512^2 + 10596^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27274 + ... + 31766.

Almost surely, 2^132633360 is an apocalyptic number.

132633360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132633360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228196332).

132633360 is an abundant number, since it is smaller than the sum of its proper divisors (323759304).

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

132633360 is a wasteful number, since it uses less digits than its factorization.

132633360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4553 (or 4544 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

The square root of 132633360 is about 11516.6557645872. The cubic root of 132633360 is about 509.9773923081.

Adding to 132633360 its reverse (63336231), we get a palindrome (195969591).

The spelling of 132633360 in words is "one hundred thirty-two million, six hundred thirty-three thousand, three hundred sixty".