129114800 has 60 divisors (see below), whose sum is σ = 314016360. Its totient is φ = 51010560.

The previous prime is 129114773. The next prime is 129114803. The reversal of 129114800 is 8411921.

It is a self number, because there is not a number n which added to its sum of digits gives 129114800.

It is not an unprimeable number, because it can be changed into a prime (129114803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31256 + ... + 35144.

It is an arithmetic number, because the mean of its divisors is an integer number (5233606).

Almost surely, 2^129114800 is an apocalyptic number.

129114800 is a gapful number since it is divisible by the number (10) 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 129114800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157008180).

129114800 is an abundant number, since it is smaller than the sum of its proper divisors (184901560).

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

129114800 is a wasteful number, since it uses less digits than its factorization.

129114800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3990 (or 3979 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 26.

The square root of 129114800 is about 11362.8693559329. The cubic root of 129114800 is about 505.4272761966.

The spelling of 129114800 in words is "one hundred twenty-nine million, one hundred fourteen thousand, eight hundred".