129478320 has 120 divisors (see below), whose sum is σ = 448935552. Its totient is φ = 33408000.

The previous prime is 129478291. The next prime is 129478379. The reversal of 129478320 is 23874921.

It is a tau number, because it is divible by the number of its divisors (120).

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 (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19420 + ... + 25220.

Almost surely, 2^129478320 is an apocalyptic number.

129478320 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 129478320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224467776).

129478320 is an abundant number, since it is smaller than the sum of its proper divisors (319457232).

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

129478320 is a wasteful number, since it uses less digits than its factorization.

129478320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5851 (or 5842 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 129478320 is about 11378.8540723572. The cubic root of 129478320 is about 505.9011716772.

The spelling of 129478320 in words is "one hundred twenty-nine million, four hundred seventy-eight thousand, three hundred twenty".