129688032 has 96 divisors (see below), whose sum is σ = 352719360. Its totient is φ = 41699840.

The previous prime is 129688003. The next prime is 129688049. The reversal of 129688032 is 230886921.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 361069 + ... + 361427.

It is an arithmetic number, because the mean of its divisors is an integer number (3674160).

Almost surely, 2^129688032 is an apocalyptic number.

129688032 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 129688032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176359680).

129688032 is an abundant number, since it is smaller than the sum of its proper divisors (223031328).

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

129688032 is a wasteful number, since it uses less digits than its factorization.

129688032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 129688032 is about 11388.0653317409. The cubic root of 129688032 is about 506.1741551367.

The spelling of 129688032 in words is "one hundred twenty-nine million, six hundred eighty-eight thousand, thirty-two".