129576096 has 144 divisors (see below), whose sum is σ = 404933256. Its totient is φ = 39057408.

The previous prime is 129576061. The next prime is 129576103. The reversal of 129576096 is 690675921.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 86490000 + 43086096 = 9300^2 + 6564^2 .

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 (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 198106 + ... + 198758.

Almost surely, 2^129576096 is an apocalyptic number.

129576096 is a gapful number since it is divisible by the number (16) 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 129576096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202466628).

129576096 is an abundant number, since it is smaller than the sum of its proper divisors (275357160).

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

129576096 is a wasteful number, since it uses less digits than its factorization.

129576096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 129576096 is about 11383.1496520076. The cubic root of 129576096 is about 506.0284839741.

The spelling of 129576096 in words is "one hundred twenty-nine million, five hundred seventy-six thousand, ninety-six".