132668928 has 200 divisors, whose sum is σ = 453540912. Its totient is φ = 37822464.

The previous prime is 132668923. The next prime is 132668929. The reversal of 132668928 is 829866231.

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 (132668923) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 290076 + ... + 290532.

Almost surely, 2^132668928 is an apocalyptic number.

132668928 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 132668928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226770456).

132668928 is an abundant number, since it is smaller than the sum of its proper divisors (320871984).

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

132668928 is an frugal number, since it uses more digits than its factorization.

132668928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 469 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 132668928 is about 11518.1998593530. The cubic root of 132668928 is about 510.0229747436.

The spelling of 132668928 in words is "one hundred thirty-two million, six hundred sixty-eight thousand, nine hundred twenty-eight".