132928992 has 192 divisors, whose sum is σ = 458035200. Its totient is φ = 36702720.

The previous prime is 132928987. The next prime is 132928993. The reversal of 132928992 is 299829231.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132928993) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 187134 + ... + 187842.

It is an arithmetic number, because the mean of its divisors is an integer number (2385600).

Almost surely, 2^132928992 is an apocalyptic number.

132928992 is a gapful number since it is divisible by the number (12) 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 132928992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229017600).

132928992 is an abundant number, since it is smaller than the sum of its proper divisors (325106208).

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

132928992 is a wasteful number, since it uses less digits than its factorization.

132928992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766 (or 752 counting only the distinct ones).

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

The square root of 132928992 is about 11529.4835964149. The cubic root of 132928992 is about 510.3560143959.

The spelling of 132928992 in words is "one hundred thirty-two million, nine hundred twenty-eight thousand, nine hundred ninety-two".