129793300 has 144 divisors (see below), whose sum is σ = 367476480. Its totient is φ = 38615040.

The previous prime is 129793297. The next prime is 129793303. The reversal of 129793300 is 3397921.

It is an interprime number because it is at equal distance from previous prime (129793297) and next prime (129793303).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129793303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 154281 + ... + 155119.

It is an arithmetic number, because the mean of its divisors is an integer number (2551920).

Almost surely, 2^129793300 is an apocalyptic number.

129793300 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 129793300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183738240).

129793300 is an abundant number, since it is smaller than the sum of its proper divisors (237683180).

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

129793300 is a wasteful number, since it uses less digits than its factorization.

129793300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 890 (or 883 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 34.

The square root of 129793300 is about 11392.6862503977. The cubic root of 129793300 is about 506.3110722440.

The spelling of 129793300 in words is "one hundred twenty-nine million, seven hundred ninety-three thousand, three hundred".