131006808 has 80 divisors (see below), whose sum is σ = 375966360. Its totient is φ = 42595200.

The previous prime is 131006803. The next prime is 131006809. The reversal of 131006808 is 808600131.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131006801) 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 19 ways as a sum of consecutive naturals, for example, 24103 + ... + 29033.

Almost surely, 2^131006808 is an apocalyptic number.

131006808 is a gapful number since it is divisible by the number (18) 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 131006808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187983180).

131006808 is an abundant number, since it is smaller than the sum of its proper divisors (244959552).

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

131006808 is a wasteful number, since it uses less digits than its factorization.

131006808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4990 (or 4977 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 131006808 is about 11445.8205472565. The cubic root of 131006808 is about 507.8841056637.

Adding to 131006808 its reverse (808600131), we get a palindrome (939606939).

The spelling of 131006808 in words is "one hundred thirty-one million, six thousand, eight hundred eight".