129282816 has 144 divisors (see below), whose sum is σ = 387346176. Its totient is φ = 37982208.

The previous prime is 129282779. The next prime is 129282823. The reversal of 129282816 is 618282921.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 229351 + ... + 229913.

It is an arithmetic number, because the mean of its divisors is an integer number (2689904).

Almost surely, 2^129282816 is an apocalyptic number.

129282816 is a gapful number since it is divisible by the number (16) 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 129282816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193673088).

129282816 is an abundant number, since it is smaller than the sum of its proper divisors (258063360).

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

129282816 is a wasteful number, since it uses less digits than its factorization.

129282816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618 (or 604 counting only the distinct ones).

The product of its digits is 27648, while the sum is 39.

The square root of 129282816 is about 11370.2601553351. The cubic root of 129282816 is about 505.6464172521.

The spelling of 129282816 in words is "one hundred twenty-nine million, two hundred eighty-two thousand, eight hundred sixteen".