132129088 has 112 divisors (see below), whose sum is σ = 329996800. Its totient is φ = 52157952.

The previous prime is 132129073. The next prime is 132129113. The reversal of 132129088 is 880921231.

132129088 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

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, 285145 + ... + 285607.

It is an arithmetic number, because the mean of its divisors is an integer number (2946400).

Almost surely, 2^132129088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132129088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164998400).

132129088 is an abundant number, since it is smaller than the sum of its proper divisors (197867712).

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

132129088 is an equidigital number, since it uses as much as digits as its factorization.

132129088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 34.

The square root of 132129088 is about 11494.7417543849. The cubic root of 132129088 is about 509.3302601778.

The spelling of 132129088 in words is "one hundred thirty-two million, one hundred twenty-nine thousand, eighty-eight".