131724 has 18 divisors (see below), whose sum is σ = 333060. Its totient is φ = 43896.

The previous prime is 131713. The next prime is 131731. The reversal of 131724 is 427131.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a d-powerful number, because it can be written as 1 + 3⁵ + 7³ + 1 + 2¹⁷ + 4³ .

It is a junction number, because it is equal to n+sod(n) for n = 131697 and 131706.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1794 + ... + 1865.

2¹³¹⁷²⁴ is an apocalyptic number.

It is an amenable number.

131724 is an abundant number, since it is smaller than the sum of its proper divisors (201336).

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

131724 is a wasteful number, since it uses less digits than its factorization.

131724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3669 (or 3664 counting only the distinct ones).

The product of its digits is 168, while the sum is 18.

The square root of 131724 is about 362.9380112361. The cubic root of 131724 is about 50.8809217229.

Adding to 131724 its reverse (427131), we get a palindrome (558855).

The spelling of 131724 in words is "one hundred thirty-one thousand, seven hundred twenty-four".