131083008 has 144 divisors (see below), whose sum is σ = 410108160. Its totient is φ = 36384768.

The previous prime is 131082989. The next prime is 131083009. The reversal of 131083008 is 800380131.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (131083009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 198583 + ... + 199241.

Almost surely, 2^131083008 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 131083008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205054080).

131083008 is an abundant number, since it is smaller than the sum of its proper divisors (279025152).

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

131083008 is an equidigital number, since it uses as much as digits as its factorization.

131083008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 722 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 131083008 is about 11449.1487893205. The cubic root of 131083008 is about 507.9825566995.

The spelling of 131083008 in words is "one hundred thirty-one million, eighty-three thousand, eight".