131435808 has 96 divisors (see below), whose sum is σ = 396192384. Its totient is φ = 37373952.

The previous prime is 131435807. The next prime is 131435809. The reversal of 131435808 is 808534131.

It is an interprime number because it is at equal distance from previous prime (131435807) and next prime (131435809).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×131435808² = 34550743249225728, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131435807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 212716 + ... + 213332.

It is an arithmetic number, because the mean of its divisors is an integer number (4127004).

Almost surely, 2^131435808 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 131435808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198096192).

131435808 is an abundant number, since it is smaller than the sum of its proper divisors (264756576).

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

131435808 is a wasteful number, since it uses less digits than its factorization.

131435808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 954 (or 946 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 131435808 is about 11464.5456953165. The cubic root of 131435808 is about 508.4378806615.

Adding to 131435808 its reverse (808534131), we get a palindrome (939969939).

The spelling of 131435808 in words is "one hundred thirty-one million, four hundred thirty-five thousand, eight hundred eight".