131736 has 32 divisors (see below), whose sum is σ = 360000. Its totient is φ = 39840.

The previous prime is 131731. The next prime is 131743. The reversal of 131736 is 637131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131731) by changing a digit.

131736 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 (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15 + ... + 513.

It is an arithmetic number, because the mean of its divisors is an integer number (11250).

2¹³¹⁷³⁶ 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 131736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180000).

131736 is an abundant number, since it is smaller than the sum of its proper divisors (228264).

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

131736 is a wasteful number, since it uses less digits than its factorization.

131736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 515 counting only the distinct ones).

The product of its digits is 378, while the sum is 21.

The square root of 131736 is about 362.9545426083. The cubic root of 131736 is about 50.8824667528.

Adding to 131736 its reverse (637131), we get a palindrome (768867).

The spelling of 131736 in words is "one hundred thirty-one thousand, seven hundred thirty-six".