131136 has 28 divisors (see below), whose sum is σ = 347472. Its totient is φ = 43648.

The previous prime is 131129. The next prime is 131143. The reversal of 131136 is 631131.

It is an interprime number because it is at equal distance from previous prime (131129) and next prime (131143).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 150 + ... + 533.

2¹³¹¹³⁶ is an apocalyptic number.

131136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

131136 is an abundant number, since it is smaller than the sum of its proper divisors (216336).

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

131136 is an equidigital number, since it uses as much as digits as its factorization.

131136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698 (or 688 counting only the distinct ones).

The product of its digits is 54, while the sum is 15.

The square root of 131136 is about 362.1270495282. The cubic root of 131136 is about 50.8051000315.

Adding to 131136 its reverse (631131), we get a palindrome (762267).

The spelling of 131136 in words is "one hundred thirty-one thousand, one hundred thirty-six".