132585880 has 64 divisors (see below), whose sum is σ = 342144000. Its totient is φ = 45297024.

The previous prime is 132585877. The next prime is 132585889. The reversal of 132585880 is 88585231.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132585889) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99861 + ... + 101179.

It is an arithmetic number, because the mean of its divisors is an integer number (5346000).

Almost surely, 2^132585880 is an apocalyptic number.

132585880 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 132585880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171072000).

132585880 is an abundant number, since it is smaller than the sum of its proper divisors (209558120).

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

132585880 is a wasteful number, since it uses less digits than its factorization.

132585880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1696 (or 1692 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 40.

The square root of 132585880 is about 11514.5942177742. The cubic root of 132585880 is about 509.9165312585.

The spelling of 132585880 in words is "one hundred thirty-two million, five hundred eighty-five thousand, eight hundred eighty".