129009632 has 96 divisors (see below), whose sum is σ = 278419680. Its totient is φ = 58705920.

The previous prime is 129009619. The next prime is 129009637. The reversal of 129009632 is 236900921.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129009637) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2114882 + ... + 2114942.

It is an arithmetic number, because the mean of its divisors is an integer number (2900205).

Almost surely, 2^129009632 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 129009632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139209840).

129009632 is an abundant number, since it is smaller than the sum of its proper divisors (149410048).

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

129009632 is a wasteful number, since it uses less digits than its factorization.

129009632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 32.

The square root of 129009632 is about 11358.2407088422. The cubic root of 129009632 is about 505.2900102018.

The spelling of 129009632 in words is "one hundred twenty-nine million, nine thousand, six hundred thirty-two".