132186080 has 96 divisors (see below), whose sum is σ = 340127424. Its totient is φ = 48254976.

The previous prime is 132186079. The next prime is 132186107. The reversal of 132186080 is 80681231.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 213932 + ... + 214548.

It is an arithmetic number, because the mean of its divisors is an integer number (3542994).

Almost surely, 2^132186080 is an apocalyptic number.

132186080 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 132186080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170063712).

132186080 is an abundant number, since it is smaller than the sum of its proper divisors (207941344).

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

132186080 is a wasteful number, since it uses less digits than its factorization.

132186080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 29.

The square root of 132186080 is about 11497.2205336768. The cubic root of 132186080 is about 509.4034804355.

The spelling of 132186080 in words is "one hundred thirty-two million, one hundred eighty-six thousand, eighty".