129742831296 has 448 divisors, whose sum is σ = 425274841600. Its totient is φ = 38528151552.

The previous prime is 129742831289. The next prime is 129742831327. The reversal of 129742831296 is 692138247921.

129742831296 is a `hidden beast` number, since 1 + 2 + 9 + 74 + 283 + 1 + 296 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 63 ways as a sum of consecutive naturals, for example, 115531791 + ... + 115532913.

It is an arithmetic number, because the mean of its divisors is an integer number (949274200).

Almost surely, 2^129742831296 is an apocalyptic number.

129742831296 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 129742831296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212637420800).

129742831296 is an abundant number, since it is smaller than the sum of its proper divisors (295532010304).

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

129742831296 is a wasteful number, since it uses less digits than its factorization.

129742831296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1333 (or 1317 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The spelling of 129742831296 in words is "one hundred twenty-nine billion, seven hundred forty-two million, eight hundred thirty-one thousand, two hundred ninety-six".