129664512 has 120 divisors (see below), whose sum is σ = 394182360. Its totient is φ = 40919040.

The previous prime is 129664511. The next prime is 129664529. The reversal of 129664512 is 215466921.

129664512 is a `hidden beast` number, since 1 + 2 + 9 + 6 + 645 + 1 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129664511) 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 11 ways as a sum of consecutive naturals, for example, 86812 + ... + 88292.

It is an arithmetic number, because the mean of its divisors is an integer number (3284853).

Almost surely, 2^129664512 is an apocalyptic number.

129664512 is a gapful number since it is divisible by the number (12) 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 129664512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197091180).

129664512 is an abundant number, since it is smaller than the sum of its proper divisors (264517848).

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

129664512 is a wasteful number, since it uses less digits than its factorization.

129664512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1524 (or 1505 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 129664512 is about 11387.0326248764. The cubic root of 129664512 is about 506.1435536599.

The spelling of 129664512 in words is "one hundred twenty-nine million, six hundred sixty-four thousand, five hundred twelve".