132916968 has 48 divisors (see below), whose sum is σ = 363498720. Its totient is φ = 43873056.

The previous prime is 132916967. The next prime is 132916991. The reversal of 132916968 is 869619231.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (132916963) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1546 + ... + 16377.

It is an arithmetic number, because the mean of its divisors is an integer number (7572890).

Almost surely, 2^132916968 is an apocalyptic number.

132916968 is a gapful number since it is divisible by the number (18) 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 132916968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181749360).

132916968 is an abundant number, since it is smaller than the sum of its proper divisors (230581752).

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

132916968 is a wasteful number, since it uses less digits than its factorization.

132916968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18038 (or 18031 counting only the distinct ones).

The product of its digits is 139968, while the sum is 45.

The square root of 132916968 is about 11528.9621388918. The cubic root of 132916968 is about 510.3406259652.

The spelling of 132916968 in words is "one hundred thirty-two million, nine hundred sixteen thousand, nine hundred sixty-eight".