131676800 has 48 divisors (see below), whose sum is σ = 325290750. Its totient is φ = 52669440.

The previous prime is 131676749. The next prime is 131676803. The reversal of 131676800 is 8676131.

It can be written as a sum of positive squares in 3 ways, for example, as 68823616 + 62853184 = 8296^2 + 7928^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (131676803) 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 5 ways as a sum of consecutive naturals, for example, 17375 + ... + 23774.

Almost surely, 2^131676800 is an apocalyptic number.

131676800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131676800 is an abundant number, since it is smaller than the sum of its proper divisors (193613950).

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

131676800 is an equidigital number, since it uses as much as digits as its factorization.

131676800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41173 (or 41156 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 131676800 is about 11475.0511981429. The cubic root of 131676800 is about 508.7484369513.

The spelling of 131676800 in words is "one hundred thirty-one million, six hundred seventy-six thousand, eight hundred".