129800448 has 144 divisors (see below), whose sum is σ = 389995200. Its totient is φ = 42577920.

The previous prime is 129800443. The next prime is 129800459. The reversal of 129800448 is 844008921.

It is a Cunningham number, because it is equal to 11393²-1.

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

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

It is not an unprimeable number, because it can be changed into a prime (129800443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 615063 + ... + 615273.

It is an arithmetic number, because the mean of its divisors is an integer number (2708300).

Almost surely, 2^129800448 is an apocalyptic number.

129800448 is a gapful number since it is divisible by the number (18) 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 129800448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194997600).

129800448 is an abundant number, since it is smaller than the sum of its proper divisors (260194752).

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

129800448 is an equidigital number, since it uses as much as digits as its factorization.

129800448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 129800448 is about 11392.9999561134. Note that the first 4 decimals coincide. The cubic root of 129800448 is about 506.3203666249.

The spelling of 129800448 in words is "one hundred twenty-nine million, eight hundred thousand, four hundred forty-eight".