130767561382767 has 32 divisors (see below), whose sum is σ = 180485373657600. Its totient is φ = 84161927764992.

The previous prime is 130767561382747. The next prime is 130767561382837. The reversal of 130767561382767 is 767283165767031.

It is not a de Polignac number, because 130767561382767 - 2⁸ = 130767561382511 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130767561382747) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27771118 + ... + 32136740.

It is an arithmetic number, because the mean of its divisors is an integer number (5640167926800).

Almost surely, 2^{130767561382767} is an apocalyptic number.

130767561382767 is a deficient number, since it is larger than the sum of its proper divisors (49717812274833).

130767561382767 is a wasteful number, since it uses less digits than its factorization.

130767561382767 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4368367.

The product of its (nonzero) digits is 373403520, while the sum is 69.

The spelling of 130767561382767 in words is "one hundred thirty trillion, seven hundred sixty-seven billion, five hundred sixty-one million, three hundred eighty-two thousand, seven hundred sixty-seven".