129132 has 36 divisors (see below), whose sum is σ = 347256. Its totient is φ = 40320.

The previous prime is 129127. The next prime is 129169. The reversal of 129132 is 231921.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 507 + ... + 717.

It is an arithmetic number, because the mean of its divisors is an integer number (9646).

2¹²⁹¹³² is an apocalyptic number.

129132 is a gapful number since it is divisible by the number (12) 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 129132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173628).

129132 is an abundant number, since it is smaller than the sum of its proper divisors (218124).

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

129132 is a wasteful number, since it uses less digits than its factorization.

129132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 233 counting only the distinct ones).

The product of its digits is 108, while the sum is 18.

The square root of 129132 is about 359.3494121325. The cubic root of 129132 is about 50.5449718662.

The spelling of 129132 in words is "one hundred twenty-nine thousand, one hundred thirty-two".