131143200 has 144 divisors (see below), whose sum is σ = 435347136. Its totient is φ = 34278400.

The previous prime is 131143153. The next prime is 131143211. The reversal of 131143200 is 2341131.

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 131143200.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 126685 + ... + 127715.

It is an arithmetic number, because the mean of its divisors is an integer number (3023244).

Almost surely, 2^131143200 is an apocalyptic number.

131143200 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 131143200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217673568).

131143200 is an abundant number, since it is smaller than the sum of its proper divisors (304203936).

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

131143200 is a wasteful number, since it uses less digits than its factorization.

131143200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1107 (or 1094 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 131143200 is about 11451.7771546603. Note that the first 3 decimals coincide. The cubic root of 131143200 is about 508.0602982964.

Adding to 131143200 its reverse (2341131), we get a palindrome (133484331).

The spelling of 131143200 in words is "one hundred thirty-one million, one hundred forty-three thousand, two hundred".