130768342767 has 24 divisors (see below), whose sum is σ = 191146941648. Its totient is φ = 86139648000.

The previous prime is 130768342763. The next prime is 130768342781. The reversal of 130768342767 is 767243867031.

130768342767 is a `hidden beast` number, since 1 + 307 + 68 + 3 + 4 + 276 + 7 = 666.

It is not a de Polignac number, because 130768342767 - 2² = 130768342763 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130768342763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 299823 + ... + 592815.

It is an arithmetic number, because the mean of its divisors is an integer number (7964455902).

Almost surely, 2^130768342767 is an apocalyptic number.

130768342767 is a deficient number, since it is larger than the sum of its proper divisors (60378598881).

130768342767 is a wasteful number, since it uses less digits than its factorization.

130768342767 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293591 (or 293588 counting only the distinct ones).

The product of its (nonzero) digits is 7112448, while the sum is 54.

The spelling of 130768342767 in words is "one hundred thirty billion, seven hundred sixty-eight million, three hundred forty-two thousand, seven hundred sixty-seven".