131613136 has 30 divisors (see below), whose sum is σ = 264123782. Its totient is φ = 63530880.

The previous prime is 131613121. The next prime is 131613161. The reversal of 131613136 is 631316131.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 18318400 + 113294736 = 4280^2 + 10644^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 131613136.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8566 + ... + 18346.

Almost surely, 2^131613136 is an apocalyptic number.

131613136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131613136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132061891).

131613136 is an abundant number, since it is smaller than the sum of its proper divisors (132510646).

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

131613136 is an equidigital number, since it uses as much as digits as its factorization.

131613136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9847 (or 9812 counting only the distinct ones).

The product of its digits is 972, while the sum is 25.

The square root of 131613136 is about 11472.2768446372. The cubic root of 131613136 is about 508.6664326757. Note that the first 3 decimals are identical.

Adding to 131613136 its reverse (631316131), we get a palindrome (762929267).

The spelling of 131613136 in words is "one hundred thirty-one million, six hundred thirteen thousand, one hundred thirty-six".