129884832 has 144 divisors (see below), whose sum is σ = 460579392. Its totient is φ = 33730560.

The previous prime is 129884813. The next prime is 129884851. The reversal of 129884832 is 238488921.

It is an interprime number because it is at equal distance from previous prime (129884813) and next prime (129884851).

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19248 + ... + 25104.

It is an arithmetic number, because the mean of its divisors is an integer number (3198468).

Almost surely, 2^129884832 is an apocalyptic number.

129884832 is a gapful number since it is divisible by the number (12) 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 129884832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230289696).

129884832 is an abundant number, since it is smaller than the sum of its proper divisors (330694560).

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

129884832 is a wasteful number, since it uses less digits than its factorization.

129884832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5891 (or 5880 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 129884832 is about 11396.7026810389. The cubic root of 129884832 is about 506.4300634279.

The spelling of 129884832 in words is "one hundred twenty-nine million, eight hundred eighty-four thousand, eight hundred thirty-two".