132580 has 24 divisors (see below), whose sum is σ = 318528. Its totient is φ = 45408.

The previous prime is 132547. The next prime is 132589. The reversal of 132580 is 85231.

132580 = T₁₀₅ + T₁₀₆ + ... + T₁₂₄.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (132589) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 334 + ... + 613.

It is an arithmetic number, because the mean of its divisors is an integer number (13272).

2¹³²⁵⁸⁰ is an apocalyptic number.

132580 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132580 is an abundant number, since it is smaller than the sum of its proper divisors (185948).

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

132580 is a wasteful number, since it uses less digits than its factorization.

132580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 963 (or 961 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 132580 is about 364.1153663333. The cubic root of 132580 is about 50.9908993117.

The spelling of 132580 in words is "one hundred thirty-two thousand, five hundred eighty".