131580800 has 96 divisors (see below), whose sum is σ = 350159880. Its totient is φ = 48568320.

The previous prime is 131580793. The next prime is 131580809. The reversal of 131580800 is 8085131.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 131580800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131580809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40019 + ... + 43181.

Almost surely, 2^131580800 is an apocalyptic number.

131580800 is a gapful number since it is divisible by the number (10) 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 131580800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175079940).

131580800 is an abundant number, since it is smaller than the sum of its proper divisors (218579080).

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

131580800 is a wasteful number, since it uses less digits than its factorization.

131580800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3200 (or 3183 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 26.

The square root of 131580800 is about 11470.8674475822. The cubic root of 131580800 is about 508.6247712187.

The spelling of 131580800 in words is "one hundred thirty-one million, five hundred eighty thousand, eight hundred".