129282853536 has 144 divisors (see below), whose sum is σ = 384096323520. Its totient is φ = 41170821120.

The previous prime is 129282853451. The next prime is 129282853541. The reversal of 129282853536 is 635358282921.

It is a happy number.

129282853536 is a `hidden beast` number, since 1 + 2 + 9 + 2 + 8 + 285 + 353 + 6 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5678656 + ... + 5701376.

It is an arithmetic number, because the mean of its divisors is an integer number (2667335580).

Almost surely, 2^129282853536 is an apocalyptic number.

129282853536 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 129282853536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192048161760).

129282853536 is an abundant number, since it is smaller than the sum of its proper divisors (254813469984).

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

129282853536 is a wasteful number, since it uses less digits than its factorization.

129282853536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23619 (or 23608 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 54.

The spelling of 129282853536 in words is "one hundred twenty-nine billion, two hundred eighty-two million, eight hundred fifty-three thousand, five hundred thirty-six".