131516 has 36 divisors (see below), whose sum is σ = 296856. Its totient is φ = 50400.

The previous prime is 131507. The next prime is 131519. The reversal of 131516 is 615131.

Its product of digits (90) is a multiple of the sum of its prime factors (90).

It is a junction number, because it is equal to n+sod(n) for n = 131494 and 131503.

It is a congruent number.

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

131516 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 11 ways as a sum of consecutive naturals, for example, 2126 + ... + 2186.

It is an arithmetic number, because the mean of its divisors is an integer number (8246).

2¹³¹⁵¹⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148428).

131516 is an abundant number, since it is smaller than the sum of its proper divisors (165340).

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

131516 is a wasteful number, since it uses less digits than its factorization.

131516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 81 counting only the distinct ones).

The product of its digits is 90, while the sum is 17.

The square root of 131516 is about 362.6513477157. The cubic root of 131516 is about 50.8541262842.

Adding to 131516 its reverse (615131), we get a palindrome (746647).

It can be divided in two parts, 1315 and 16, that added together give a palindrome (1331).

The spelling of 131516 in words is "one hundred thirty-one thousand, five hundred sixteen".