132771732142767 has 32 divisors (see below), whose sum is σ = 190239190548480. Its totient is φ = 82066690352640.

The previous prime is 132771732142747. The next prime is 132771732142849. The reversal of 132771732142767 is 767241237177231.

It is not a de Polignac number, because 132771732142767 - 2²² = 132771727948463 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 132771732142767.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132771732142747) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10721967 + ... + 19506512.

It is an arithmetic number, because the mean of its divisors is an integer number (5944974704640).

Almost surely, 2^{132771732142767} is an apocalyptic number.

132771732142767 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

132771732142767 is a deficient number, since it is larger than the sum of its proper divisors (57467458405713).

132771732142767 is a wasteful number, since it uses less digits than its factorization.

132771732142767 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30229783.

The product of its digits is 29042496, while the sum is 60.

The spelling of 132771732142767 in words is "one hundred thirty-two trillion, seven hundred seventy-one billion, seven hundred thirty-two million, one hundred forty-two thousand, seven hundred sixty-seven".