129504 has 48 divisors (see below), whose sum is σ = 362880. Its totient is φ = 40320.

The previous prime is 129499. The next prime is 129509. The reversal of 129504 is 405921.

It is an interprime number because it is at equal distance from previous prime (129499) and next prime (129509).

It is a tau number, because it is divible by the number of its divisors (48).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129509) by changing a digit.

129504 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1789 + ... + 1859.

It is an arithmetic number, because the mean of its divisors is an integer number (7560).

2¹²⁹⁵⁰⁴ 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 129504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181440).

129504 is an abundant number, since it is smaller than the sum of its proper divisors (233376).

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

129504 is a wasteful number, since it uses less digits than its factorization.

129504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 129504 is about 359.8666419662. The cubic root of 129504 is about 50.5934615328.

The spelling of 129504 in words is "one hundred twenty-nine thousand, five hundred four".