132509088 has 96 divisors (see below), whose sum is σ = 390499200. Its totient is φ = 43711488.

The previous prime is 132509087. The next prime is 132509147. The reversal of 132509088 is 880905231.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (132509087) 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, 88248 + ... + 89736.

It is an arithmetic number, because the mean of its divisors is an integer number (4067700).

Almost surely, 2^132509088 is an apocalyptic number.

132509088 is a gapful number since it is divisible by the number (18) 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 132509088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195249600).

132509088 is an abundant number, since it is smaller than the sum of its proper divisors (257990112).

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

132509088 is a wasteful number, since it uses less digits than its factorization.

132509088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1611 (or 1597 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 132509088 is about 11511.2591839468. The cubic root of 132509088 is about 509.8180665941.

The spelling of 132509088 in words is "one hundred thirty-two million, five hundred nine thousand, eighty-eight".