129800352 has 96 divisors (see below), whose sum is σ = 375689664. Its totient is φ = 38912000.

The previous prime is 129800347. The next prime is 129800369. The reversal of 129800352 is 253008921.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

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, 106048 + ... + 107264.

It is an arithmetic number, because the mean of its divisors is an integer number (3913434).

Almost surely, 2^129800352 is an apocalyptic number.

129800352 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 129800352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187844832).

129800352 is an abundant number, since it is smaller than the sum of its proper divisors (245889312).

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

129800352 is a wasteful number, since it uses less digits than its factorization.

129800352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1342 (or 1334 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 129800352 is about 11392.9957429993. The cubic root of 129800352 is about 506.3202418006.

The spelling of 129800352 in words is "one hundred twenty-nine million, eight hundred thousand, three hundred fifty-two".