131353200 has 360 divisors, whose sum is σ = 518109696. Its totient is φ = 30528000.

The previous prime is 131353199. The next prime is 131353223. The reversal of 131353200 is 2353131.

131353200 is a `hidden beast` number, since 131 + 3 + 532 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 1227547 + ... + 1227653.

Almost surely, 2^131353200 is an apocalyptic number.

131353200 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 131353200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259054848).

131353200 is an abundant number, since it is smaller than the sum of its proper divisors (386756496).

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

131353200 is a wasteful number, since it uses less digits than its factorization.

131353200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 159 counting only the distinct ones).

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

The square root of 131353200 is about 11460.9423696309. The cubic root of 131353200 is about 508.3313398351.

The spelling of 131353200 in words is "one hundred thirty-one million, three hundred fifty-three thousand, two hundred".