132386580 has 72 divisors (see below), whose sum is σ = 409178952. Its totient is φ = 34634496.

The previous prime is 132386549. The next prime is 132386587. The reversal of 132386580 is 85683231.

It can be written as a sum of positive squares in 4 ways, for example, as 4334724 + 128051856 = 2082^2 + 11316^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132386587) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2602 + ... + 16478.

It is an arithmetic number, because the mean of its divisors is an integer number (5683041).

Almost surely, 2^132386580 is an apocalyptic number.

132386580 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 132386580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204589476).

132386580 is an abundant number, since it is smaller than the sum of its proper divisors (276792372).

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

132386580 is a wasteful number, since it uses less digits than its factorization.

132386580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13945 (or 13940 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 132386580 is about 11505.9367284893. The cubic root of 132386580 is about 509.6609049227.

The spelling of 132386580 in words is "one hundred thirty-two million, three hundred eighty-six thousand, five hundred eighty".