131364135 has 48 divisors (see below), whose sum is σ = 262866240. Its totient is φ = 59443200.

The previous prime is 131364127. The next prime is 131364139. The reversal of 131364135 is 531463131.

131364135 is a `hidden beast` number, since 1 + 3 + 13 + 641 + 3 + 5 = 666.

It is not a de Polignac number, because 131364135 - 2³ = 131364127 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131364099 and 131364108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131364139) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29751 + ... + 33879.

It is an arithmetic number, because the mean of its divisors is an integer number (5476380).

Almost surely, 2^131364135 is an apocalyptic number.

131364135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

131364135 is an abundant number, since it is smaller than the sum of its proper divisors (131502105).

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

131364135 is a wasteful number, since it uses less digits than its factorization.

131364135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4248 (or 4245 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

The square root of 131364135 is about 11461.4194147147. The cubic root of 131364135 is about 508.3454454398.

It can be divided in two parts, 13136 and 4135, that added together give a palindrome (17271).

The spelling of 131364135 in words is "one hundred thirty-one million, three hundred sixty-four thousand, one hundred thirty-five".