131431200 has 144 divisors (see below), whose sum is σ = 446596416. Its totient is φ = 33510400.

The previous prime is 131431187. The next prime is 131431207. The reversal of 131431200 is 2134131.

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 131431200.

It is not an unprimeable number, because it can be changed into a prime (131431207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54010 + ... + 56390.

It is an arithmetic number, because the mean of its divisors is an integer number (3101364).

Almost surely, 2^131431200 is an apocalyptic number.

131431200 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 131431200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223298208).

131431200 is an abundant number, since it is smaller than the sum of its proper divisors (315165216).

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

131431200 is a wasteful number, since it uses less digits than its factorization.

131431200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2427 (or 2414 counting only the distinct ones).

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

The square root of 131431200 is about 11464.3447261499. The cubic root of 131431200 is about 508.4319388278.

Adding to 131431200 its reverse (2134131), we get a palindrome (133565331).

The spelling of 131431200 in words is "one hundred thirty-one million, four hundred thirty-one thousand, two hundred".