131868800 has 216 divisors, whose sum is σ = 392459535. Its totient is φ = 43653120.

The previous prime is 131868773. The next prime is 131868809. The reversal of 131868800 is 8868131.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 50580544 + 81288256 = 7112^2 + 9016^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=8120.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (131868809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4547186 + ... + 4547214.

Almost surely, 2^131868800 is an apocalyptic number.

131868800 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 131868800

131868800 is an abundant number, since it is smaller than the sum of its proper divisors (260590735).

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

131868800 is an equidigital number, since it uses as much as digits as its factorization.

131868800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 35.

The square root of 131868800 is about 11483.4141264695. The cubic root of 131868800 is about 508.9955882141.

The spelling of 131868800 in words is "one hundred thirty-one million, eight hundred sixty-eight thousand, eight hundred".