129834900 has 252 divisors, whose sum is σ = 458233692. Its totient is φ = 31726080.

The previous prime is 129834893. The next prime is 129834907. The reversal of 129834900 is 9438921.

It is an interprime number because it is at equal distance from previous prime (129834893) and next prime (129834907).

It can be written as a sum of positive squares in 6 ways, for example, as 10850436 + 118984464 = 3294^2 + 10908^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129834907) by changing a digit.

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 83 ways as a sum of consecutive naturals, for example, 947632 + ... + 947768.

Almost surely, 2^129834900 is an apocalyptic number.

129834900 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 129834900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229116846).

129834900 is an abundant number, since it is smaller than the sum of its proper divisors (328398792).

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

129834900 is a wasteful number, since it uses less digits than its factorization.

129834900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 129834900 is about 11394.5118368450. The cubic root of 129834900 is about 506.3651589875.

The spelling of 129834900 in words is "one hundred twenty-nine million, eight hundred thirty-four thousand, nine hundred".