131340800 has 120 divisors (see below), whose sum is σ = 336918912. Its totient is φ = 50688000.

The previous prime is 131340799. The next prime is 131340821. The reversal of 131340800 is 8043131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 396635 + ... + 396965.

Almost surely, 2^131340800 is an apocalyptic number.

131340800 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 131340800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168459456).

131340800 is an abundant number, since it is smaller than the sum of its proper divisors (205578112).

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

131340800 is an equidigital number, since it uses as much as digits as its factorization.

131340800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 131340800 is about 11460.4013891312. The cubic root of 131340800 is about 508.3153435062.

Adding to 131340800 its reverse (8043131), we get a palindrome (139383931).

The spelling of 131340800 in words is "one hundred thirty-one million, three hundred forty thousand, eight hundred".