131433200 has 60 divisors (see below), whose sum is σ = 316899360. Its totient is φ = 52385280.

The previous prime is 131433187. The next prime is 131433209. The reversal of 131433200 is 2334131.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131433209) 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, 182441 + ... + 183159.

It is an arithmetic number, because the mean of its divisors is an integer number (5281656).

Almost surely, 2^131433200 is an apocalyptic number.

131433200 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 131433200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158449680).

131433200 is an abundant number, since it is smaller than the sum of its proper divisors (185466160).

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

131433200 is a wasteful number, since it uses less digits than its factorization.

131433200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1194 (or 1183 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 131433200 is about 11464.4319527834. The cubic root of 131433200 is about 508.4345177657.

Adding to 131433200 its reverse (2334131), we get a palindrome (133767331).

The spelling of 131433200 in words is "one hundred thirty-one million, four hundred thirty-three thousand, two hundred".