129306272256 has 240 divisors, whose sum is σ = 427440499200. Its totient is φ = 36863115264.

The previous prime is 129306272243. The next prime is 129306272267. The reversal of 129306272256 is 652272603921.

129306272256 is a `hidden beast` number, since 1 + 29 + 306 + 2 + 72 + 256 = 666.

It is a super-2 number, since 2×129306272256² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15446440 + ... + 15454808.

It is an arithmetic number, because the mean of its divisors is an integer number (1781002080).

Almost surely, 2^129306272256 is an apocalyptic number.

129306272256 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 129306272256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213720249600).

129306272256 is an abundant number, since it is smaller than the sum of its proper divisors (298134226944).

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

129306272256 is an equidigital number, since it uses as much as digits as its factorization.

129306272256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8879 (or 8860 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 129306272256 in words is "one hundred twenty-nine billion, three hundred six million, two hundred seventy-two thousand, two hundred fifty-six".