131062400 has 96 divisors (see below), whose sum is σ = 370080480. Its totient is φ = 44928000.

The previous prime is 131062357. The next prime is 131062403. The reversal of 131062400 is 4260131.

It is not an unprimeable number, because it can be changed into a prime (131062403) 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, 19475 + ... + 25325.

It is an arithmetic number, because the mean of its divisors is an integer number (3855005).

Almost surely, 2^131062400 is an apocalyptic number.

131062400 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 131062400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185040240).

131062400 is an abundant number, since it is smaller than the sum of its proper divisors (239018080).

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

131062400 is an equidigital number, since it uses as much as digits as its factorization.

131062400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5882 (or 5865 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 131062400 is about 11448.2487743759. The cubic root of 131062400 is about 507.9559347563.

The spelling of 131062400 in words is "one hundred thirty-one million, sixty-two thousand, four hundred".