131766 has 8 divisors (see below), whose sum is σ = 263544. Its totient is φ = 43920.

The previous prime is 131759. The next prime is 131771. The reversal of 131766 is 667131.

131766 is nontrivially palindromic in base 11.

It is a sphenic number, since it is the product of 3 distinct primes.

131766 is an admirable number.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is an Ulam number.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

131766 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10975 + ... + 10986.

It is an arithmetic number, because the mean of its divisors is an integer number (32943).

2¹³¹⁷⁶⁶ is an apocalyptic number.

131766 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

131766 is a wasteful number, since it uses less digits than its factorization.

131766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21966.

The product of its digits is 756, while the sum is 24.

The square root of 131766 is about 362.9958677451. The cubic root of 131766 is about 50.8863289168.

Adding to 131766 its reverse (667131), we get a palindrome (798897).

The spelling of 131766 in words is "one hundred thirty-one thousand, seven hundred sixty-six".