129829520 has 80 divisors (see below), whose sum is σ = 315783360. Its totient is φ = 49577472.

The previous prime is 129829471. The next prime is 129829523. The reversal of 129829520 is 25928921.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (129829523) 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 15 ways as a sum of consecutive naturals, for example, 247979 + ... + 248501.

It is an arithmetic number, because the mean of its divisors is an integer number (3947292).

Almost surely, 2^129829520 is an apocalyptic number.

129829520 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 129829520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157891680).

129829520 is an abundant number, since it is smaller than the sum of its proper divisors (185953840).

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

129829520 is a wasteful number, since it uses less digits than its factorization.

129829520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 38.

The square root of 129829520 is about 11394.2757558346. The cubic root of 129829520 is about 506.3581647659.

The spelling of 129829520 in words is "one hundred twenty-nine million, eight hundred twenty-nine thousand, five hundred twenty".