131751 has 6 divisors (see below), whose sum is σ = 190320. Its totient is φ = 87828.

The previous prime is 131749. The next prime is 131759. The reversal of 131751 is 157131.

It is a happy number.

It is not a de Polignac number, because 131751 - 2¹ = 131749 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131759) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 7311 + ... + 7328.

It is an arithmetic number, because the mean of its divisors is an integer number (31720).

2¹³¹⁷⁵¹ is an apocalyptic number.

131751 is a deficient number, since it is larger than the sum of its proper divisors (58569).

131751 is a wasteful number, since it uses less digits than its factorization.

131751 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14645 (or 14642 counting only the distinct ones).

The product of its digits is 105, while the sum is 18.

The square root of 131751 is about 362.9752057648. The cubic root of 131751 is about 50.8843979081.

Adding to 131751 its sum of digits (18), we get a square (131769 = 363²).

Adding to 131751 its reverse (157131), we get a palindrome (288882).

It can be divided in two parts, 13 and 1751, that added together give a square (1764 = 42²).

The spelling of 131751 in words is "one hundred thirty-one thousand, seven hundred fifty-one".