129753458307 has 224 divisors, whose sum is σ = 242736238080. Its totient is φ = 68305628160.

The previous prime is 129753458297. The next prime is 129753458333. The reversal of 129753458307 is 703854357921.

129753458307 is a `hidden beast` number, since 1 + 2 + 9 + 7 + 53 + 4 + 583 + 0 + 7 = 666.

It is not a de Polignac number, because 129753458307 - 2⁷ = 129753458179 is a prime.

It is not an unprimeable number, because it can be changed into a prime (129753458507) by changing a digit.

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 223 ways as a sum of consecutive naturals, for example, 90926728 + ... + 90928154.

It is an arithmetic number, because the mean of its divisors is an integer number (1083643920).

Almost surely, 2^129753458307 is an apocalyptic number.

129753458307 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

129753458307 is a deficient number, since it is larger than the sum of its proper divisors (112982779773).

129753458307 is a wasteful number, since it uses less digits than its factorization.

129753458307 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1525 (or 1510 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 129753458307 in words is "one hundred twenty-nine billion, seven hundred fifty-three million, four hundred fifty-eight thousand, three hundred seven".