132286180 has 72 divisors (see below), whose sum is σ = 318610152. Its totient is φ = 45705216.

The previous prime is 132286177. The next prime is 132286181. The reversal of 132286180 is 81682231.

It can be written as a sum of positive squares in 12 ways, for example, as 128164 + 132158016 = 358^2 + 11496^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132286181) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 764574 + ... + 764746.

It is an arithmetic number, because the mean of its divisors is an integer number (4425141).

Almost surely, 2^132286180 is an apocalyptic number.

132286180 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 132286180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159305076).

132286180 is an abundant number, since it is smaller than the sum of its proper divisors (186323972).

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

132286180 is a wasteful number, since it uses less digits than its factorization.

132286180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 132286180 is about 11501.5729359075. The cubic root of 132286180 is about 509.5320326060.

The spelling of 132286180 in words is "one hundred thirty-two million, two hundred eighty-six thousand, one hundred eighty".