131435200 has 168 divisors, whose sum is σ = 357164640. Its totient is φ = 47308800.

The previous prime is 131435167. The next prime is 131435201. The reversal of 131435200 is 2534131.

It is not an unprimeable number, because it can be changed into a prime (131435201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1476756 + ... + 1476844.

It is an arithmetic number, because the mean of its divisors is an integer number (2125980).

Almost surely, 2^131435200 is an apocalyptic number.

131435200 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 131435200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178582320).

131435200 is an abundant number, since it is smaller than the sum of its proper divisors (225729440).

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

131435200 is a wasteful number, since it uses less digits than its factorization.

131435200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 131435200 is about 11464.5191787532. The cubic root of 131435200 is about 508.4370966775.

Adding to 131435200 its reverse (2534131), we get a palindrome (133969331).

The spelling of 131435200 in words is "one hundred thirty-one million, four hundred thirty-five thousand, two hundred".