129833280 has 140 divisors (see below), whose sum is σ = 461932020. Its totient is φ = 34615296.

The previous prime is 129833237. The next prime is 129833287. The reversal of 129833280 is 82338921.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 53934336 + 75898944 = 7344^2 + 8712^2 .

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 (129833287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 23416 + ... + 28424.

Almost surely, 2^129833280 is an apocalyptic number.

129833280 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 129833280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230966010).

129833280 is an abundant number, since it is smaller than the sum of its proper divisors (332098740).

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

129833280 is an equidigital number, since it uses as much as digits as its factorization.

129833280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5038 (or 5019 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 129833280 is about 11394.4407497692. The cubic root of 129833280 is about 506.3630529411.

The spelling of 129833280 in words is "one hundred twenty-nine million, eight hundred thirty-three thousand, two hundred eighty".