132016584 has 160 divisors (see below), whose sum is σ = 403344000. Its totient is φ = 35957376.

The previous prime is 132016583. The next prime is 132016639. The reversal of 132016584 is 485610231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132016583) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1671057 + ... + 1671135.

It is an arithmetic number, because the mean of its divisors is an integer number (2520900).

Almost surely, 2^132016584 is an apocalyptic number.

132016584 is a gapful number since it is divisible by the number (14) 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 132016584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201672000).

132016584 is an abundant number, since it is smaller than the sum of its proper divisors (271327416).

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

132016584 is an equidigital number, since it uses as much as digits as its factorization.

132016584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 132016584 is about 11489.8469963703. The cubic root of 132016584 is about 509.1856592583.

The spelling of 132016584 in words is "one hundred thirty-two million, sixteen thousand, five hundred eighty-four".