129320064 has 80 divisors (see below), whose sum is σ = 384885270. Its totient is φ = 43103232.

The previous prime is 129320063. The next prime is 129320083. The reversal of 129320064 is 460023921.

It can be written as a sum of positive squares in only one way, i.e., 100160064 + 29160000 = 10008^2 + 5400^2 .

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

It is not an unprimeable number, because it can be changed into a prime (129320063) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 4132 + ... + 16604.

Almost surely, 2^129320064 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 129320064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192442635).

129320064 is an abundant number, since it is smaller than the sum of its proper divisors (255565206).

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

129320064 is an equidigital number, since it uses as much as digits as its factorization.

129320064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12499 (or 12478 counting only the distinct ones).

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

The square root of 129320064 is about 11371.8979946181. The cubic root of 129320064 is about 505.6949736131.

Adding to 129320064 its reverse (460023921), we get a palindrome (589343985).

The spelling of 129320064 in words is "one hundred twenty-nine million, three hundred twenty thousand, sixty-four".