129064320 has 512 divisors, whose sum is σ = 575769600. Its totient is φ = 26542080.

The previous prime is 129064319. The next prime is 129064333. The reversal of 129064320 is 23460921.

129064320 is a `hidden beast` number, since 12 + 9 + 0 + 643 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1330512 + ... + 1330608.

It is an arithmetic number, because the mean of its divisors is an integer number (1124550).

Almost surely, 2^129064320 is an apocalyptic number.

129064320 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 129064320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287884800).

129064320 is an abundant number, since it is smaller than the sum of its proper divisors (446705280).

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

129064320 is a wasteful number, since it uses less digits than its factorization.

129064320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 129064320 is about 11360.6478688497. The cubic root of 129064320 is about 505.3613986605.

The spelling of 129064320 in words is "one hundred twenty-nine million, sixty-four thousand, three hundred twenty".