131435136 has 160 divisors (see below), whose sum is σ = 447274080. Its totient is φ = 37532160.

The previous prime is 131435119. The next prime is 131435147. The reversal of 131435136 is 631534131.

131435136 is a `hidden beast` number, since 1 + 3 + 143 + 513 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 71671 + ... + 73481.

It is an arithmetic number, because the mean of its divisors is an integer number (2795463).

Almost surely, 2^131435136 is an apocalyptic number.

131435136 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 131435136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223637040).

131435136 is an abundant number, since it is smaller than the sum of its proper divisors (315838944).

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

131435136 is an equidigital number, since it uses as much as digits as its factorization.

131435136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1844 (or 1823 counting only the distinct ones).

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

The square root of 131435136 is about 11464.5163875324. The cubic root of 131435136 is about 508.4370141527.

Adding to 131435136 its reverse (631534131), we get a palindrome (762969267).

The spelling of 131435136 in words is "one hundred thirty-one million, four hundred thirty-five thousand, one hundred thirty-six".