129508992 has 144 divisors (see below), whose sum is σ = 396904950. Its totient is φ = 40525824.

The previous prime is 129508987. The next prime is 129509033. The reversal of 129508992 is 299805921.

It can be written as a sum of positive squares in 3 ways, for example, as 122412096 + 7096896 = 11064^2 + 2664^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 332734 + ... + 333122.

Almost surely, 2^129508992 is an apocalyptic number.

129508992 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 129508992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198452475).

129508992 is an abundant number, since it is smaller than the sum of its proper divisors (267395958).

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

129508992 is a wasteful number, since it uses less digits than its factorization.

129508992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The square root of 129508992 is about 11380.2017556808. The cubic root of 129508992 is about 505.9411160108.

The spelling of 129508992 in words is "one hundred twenty-nine million, five hundred eight thousand, nine hundred ninety-two".