132806080 has 112 divisors (see below), whose sum is σ = 357164640. Its totient is φ = 46592000.

The previous prime is 132806041. The next prime is 132806083. The reversal of 132806080 is 80608231.

It is a super-3 number, since 3×132806080³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132806083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101430 + ... + 102730.

It is an arithmetic number, because the mean of its divisors is an integer number (3188970).

Almost surely, 2^132806080 is an apocalyptic number.

132806080 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 132806080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178582320).

132806080 is an abundant number, since it is smaller than the sum of its proper divisors (224358560).

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

132806080 is a wasteful number, since it uses less digits than its factorization.

132806080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1358 (or 1348 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 132806080 is about 11524.1520295421. The cubic root of 132806080 is about 510.1986666736.

The spelling of 132806080 in words is "one hundred thirty-two million, eight hundred six thousand, eighty".