129857968 has 40 divisors (see below), whose sum is σ = 267505200. Its totient is φ = 60856320.

The previous prime is 129857957. The next prime is 129858007. The reversal of 129857968 is 869758921.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75583 + ... + 77281.

It is an arithmetic number, because the mean of its divisors is an integer number (6687630).

Almost surely, 2^129857968 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 129857968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133752600).

129857968 is an abundant number, since it is smaller than the sum of its proper divisors (137647232).

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

129857968 is a wasteful number, since it uses less digits than its factorization.

129857968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2005 (or 1999 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 55.

The square root of 129857968 is about 11395.5240335844. The cubic root of 129857968 is about 506.3951461475.

The spelling of 129857968 in words is "one hundred twenty-nine million, eight hundred fifty-seven thousand, nine hundred sixty-eight".