131514 has 16 divisors (see below), whose sum is σ = 274752. Its totient is φ = 41888.

The previous prime is 131507. The next prime is 131519. The reversal of 131514 is 415131.

It is a junction number, because it is equal to n+sod(n) for n = 131493 and 131502.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 131514.

It is not an unprimeable number, because it can be changed into a prime (131519) by changing a digit.

131514 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 7 ways as a sum of consecutive naturals, for example, 339 + ... + 614.

It is an arithmetic number, because the mean of its divisors is an integer number (17172).

2¹³¹⁵¹⁴ is an apocalyptic number.

131514 is an abundant number, since it is smaller than the sum of its proper divisors (143238).

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

131514 is a wasteful number, since it uses less digits than its factorization.

131514 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 981.

The product of its digits is 60, while the sum is 15.

The square root of 131514 is about 362.6485902358. The cubic root of 131514 is about 50.8538684986.

Adding to 131514 its reverse (415131), we get a palindrome (546645).

The spelling of 131514 in words is "one hundred thirty-one thousand, five hundred fourteen".