129368008 has 96 divisors (see below), whose sum is σ = 316935360. Its totient is φ = 48090240.

The previous prime is 129368003. The next prime is 129368023. The reversal of 129368008 is 800863921.

129368008 = T₄₄₇ + T₄₄₈ + ... + T₉₅₂.

It is not an unprimeable number, because it can be changed into a prime (129368003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 325666 + ... + 326062.

It is an arithmetic number, because the mean of its divisors is an integer number (3301410).

Almost surely, 2^129368008 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 129368008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158467680).

129368008 is an abundant number, since it is smaller than the sum of its proper divisors (187567352).

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

129368008 is a wasteful number, since it uses less digits than its factorization.

129368008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The square root of 129368008 is about 11374.0058027065. The cubic root of 129368008 is about 505.7574595195.

The spelling of 129368008 in words is "one hundred twenty-nine million, three hundred sixty-eight thousand, eight".