129382344 has 288 divisors, whose sum is σ = 456768000. Its totient is φ = 33022080.

The previous prime is 129382333. The next prime is 129382417. The reversal of 129382344 is 443283921.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 129382299 and 129382308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4173609 + ... + 4173639.

It is an arithmetic number, because the mean of its divisors is an integer number (1586000).

Almost surely, 2^129382344 is an apocalyptic number.

129382344 is a gapful number since it is divisible by the number (14) 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 129382344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228384000).

129382344 is an abundant number, since it is smaller than the sum of its proper divisors (327385656).

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

129382344 is a wasteful number, since it uses less digits than its factorization.

129382344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 56 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 129382344 is about 11374.6359941758. The cubic root of 129382344 is about 505.7761407768.

The spelling of 129382344 in words is "one hundred twenty-nine million, three hundred eighty-two thousand, three hundred forty-four".