129384192 has 144 divisors (see below), whose sum is σ = 403828992. Its totient is φ = 36003840.

The previous prime is 129384191. The next prime is 129384193. The reversal of 129384192 is 291483921.

It is an interprime number because it is at equal distance from previous prime (129384191) and next prime (129384193).

It is a self number, because there is not a number n which added to its sum of digits gives 129384192.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129384191) 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, 220123 + ... + 220709.

It is an arithmetic number, because the mean of its divisors is an integer number (2804368).

Almost surely, 2^129384192 is an apocalyptic number.

129384192 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 129384192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201914496).

129384192 is an abundant number, since it is smaller than the sum of its proper divisors (274444800).

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

129384192 is an equidigital number, since it uses as much as digits as its factorization.

129384192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654 (or 640 counting only the distinct ones).

The product of its digits is 31104, while the sum is 39.

The square root of 129384192 is about 11374.7172272545. The cubic root of 129384192 is about 505.7785488072.

The spelling of 129384192 in words is "one hundred twenty-nine million, three hundred eighty-four thousand, one hundred ninety-two".