129300 has 36 divisors (see below), whose sum is σ = 374976. Its totient is φ = 34400.

The previous prime is 129293. The next prime is 129313. The reversal of 129300 is 3921.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 129300.

It is a congruent number.

It is an unprimeable number.

129300 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 11 ways as a sum of consecutive naturals, for example, 85 + ... + 515.

It is an arithmetic number, because the mean of its divisors is an integer number (10416).

2¹²⁹³⁰⁰ is an apocalyptic number.

129300 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 129300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187488).

129300 is an abundant number, since it is smaller than the sum of its proper divisors (245676).

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

129300 is a wasteful number, since it uses less digits than its factorization.

129300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 129300 is about 359.5830919273. The cubic root of 129300 is about 50.5668819412.

The spelling of 129300 in words is "one hundred twenty-nine thousand, three hundred".