131800896 has 84 divisors (see below), whose sum is σ = 387067044. Its totient is φ = 42854400.

The previous prime is 131800883. The next prime is 131800927. The reversal of 131800896 is 698008131.

It can be written as a sum of positive squares in 2 ways, for example, as 20793600 + 111007296 = 4560^2 + 10536^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 131800896.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20826 + ... + 26406.

It is an arithmetic number, because the mean of its divisors is an integer number (4607941).

Almost surely, 2^131800896 is an apocalyptic number.

131800896 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 131800896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193533522).

131800896 is an abundant number, since it is smaller than the sum of its proper divisors (255266148).

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

131800896 is a wasteful number, since it uses less digits than its factorization.

131800896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5640 (or 5627 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 131800896 is about 11480.4571337556. The cubic root of 131800896 is about 508.9082064865.

The spelling of 131800896 in words is "one hundred thirty-one million, eight hundred thousand, eight hundred ninety-six".