131335200 has 432 divisors, whose sum is σ = 520982280. Its totient is φ = 30965760.

The previous prime is 131335157. The next prime is 131335213. The reversal of 131335200 is 2533131.

131335200 is a `hidden beast` number, since 1 + 313 + 352 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 46621584 + 84713616 = 6828^2 + 9204^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3549582 + ... + 3549618.

Almost surely, 2^131335200 is an apocalyptic number.

131335200 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 131335200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260491140).

131335200 is an abundant number, since it is smaller than the sum of its proper divisors (389647080).

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

131335200 is a wasteful number, since it uses less digits than its factorization.

131335200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 131335200 is about 11460.1570669865. The cubic root of 131335200 is about 508.3081190276.

Adding to 131335200 its reverse (2533131), we get a palindrome (133868331).

The spelling of 131335200 in words is "one hundred thirty-one million, three hundred thirty-five thousand, two hundred".