132580206 has 64 divisors (see below), whose sum is σ = 326764800. Its totient is φ = 39506400.

The previous prime is 132580187. The next prime is 132580207. The reversal of 132580206 is 602085231.

It is a super-2 number, since 2×132580206² = 35155022046004872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 132580206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132580207) 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, 34405 + ... + 38063.

It is an arithmetic number, because the mean of its divisors is an integer number (5105700).

Almost surely, 2^132580206 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132580206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163382400).

132580206 is an abundant number, since it is smaller than the sum of its proper divisors (194184594).

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

132580206 is a wasteful number, since it uses less digits than its factorization.

132580206 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3742 (or 3736 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 132580206 is about 11514.3478321614. The cubic root of 132580206 is about 509.9092572118.

The spelling of 132580206 in words is "one hundred thirty-two million, five hundred eighty thousand, two hundred six".