129108384 has 192 divisors, whose sum is σ = 402796800. Its totient is φ = 40144896.

The previous prime is 129108379. The next prime is 129108437. The reversal of 129108384 is 483801921.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1450612 + ... + 1450700.

It is an arithmetic number, because the mean of its divisors is an integer number (2097900).

Almost surely, 2^129108384 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 129108384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201398400).

129108384 is an abundant number, since it is smaller than the sum of its proper divisors (273688416).

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

129108384 is a wasteful number, since it uses less digits than its factorization.

129108384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 129108384 is about 11362.5870293697. The cubic root of 129108384 is about 505.4189041248.

The spelling of 129108384 in words is "one hundred twenty-nine million, one hundred eight thousand, three hundred eighty-four".