8131200 has 288 divisors, whose sum is σ = 33643680. Its totient is φ = 1689600.

The previous prime is 8131177. The next prime is 8131229. The reversal of 8131200 is 21318.

It is a happy number.

It is a super-2 number, since 2×8131200² = 132232826880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 8131200.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 739195 + ... + 739205.

Almost surely, 2^8131200 is an apocalyptic number.

8131200 is a gapful number since it is divisible by the number (80) 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 8131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16821840).

8131200 is an abundant number, since it is smaller than the sum of its proper divisors (25512480).

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

8131200 is a wasteful number, since it uses less digits than its factorization.

8131200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 8131200 is about 2851.5259072995. The cubic root of 8131200 is about 201.0874103122.

Adding to 8131200 its reverse (21318), we get a palindrome (8152518).

The spelling of 8131200 in words is "eight million, one hundred thirty-one thousand, two hundred".