132590080 has 160 divisors (see below), whose sum is σ = 373190400. Its totient is φ = 45158400.

The previous prime is 132590077. The next prime is 132590167. The reversal of 132590080 is 80095231.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 878005 + ... + 878155.

It is an arithmetic number, because the mean of its divisors is an integer number (2332440).

Almost surely, 2^132590080 is an apocalyptic number.

132590080 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 132590080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186595200).

132590080 is an abundant number, since it is smaller than the sum of its proper divisors (240600320).

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

132590080 is an frugal number, since it uses more digits than its factorization.

132590080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 132590080 is about 11514.7765935775. The cubic root of 132590080 is about 509.9219155091.

The spelling of 132590080 in words is "one hundred thirty-two million, five hundred ninety thousand, eighty".