132883968 has 160 divisors (see below), whose sum is σ = 428972544. Its totient is φ = 35684352.

The previous prime is 132883943. The next prime is 132883973. The reversal of 132883968 is 869388231.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 182421 + ... + 183147.

Almost surely, 2^132883968 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 132883968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214486272).

132883968 is an abundant number, since it is smaller than the sum of its proper divisors (296088576).

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

132883968 is an equidigital number, since it uses as much as digits as its factorization.

132883968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772 (or 756 counting only the distinct ones).

The product of its digits is 497664, while the sum is 48.

The square root of 132883968 is about 11527.5308717869. The cubic root of 132883968 is about 510.2983874789.

The spelling of 132883968 in words is "one hundred thirty-two million, eight hundred eighty-three thousand, nine hundred sixty-eight".