129564 has 36 divisors (see below), whose sum is σ = 338520. Its totient is φ = 41760.

The previous prime is 129553. The next prime is 129581. The reversal of 129564 is 465921.

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

It is a congruent 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, 2094 + ... + 2154.

129564 is a Friedman number, since it can be written as 21594*6, using all its digits and the basic arithmetic operations.

2¹²⁹⁵⁶⁴ 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 129564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169260).

129564 is an abundant number, since it is smaller than the sum of its proper divisors (208956).

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

129564 is a wasteful number, since it uses less digits than its factorization.

129564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 125 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 129564 is about 359.9499965273. The cubic root of 129564 is about 50.6012737471.

The spelling of 129564 in words is "one hundred twenty-nine thousand, five hundred sixty-four".