131065200 has 270 divisors, whose sum is σ = 529803144. Its totient is φ = 29917440.

The previous prime is 131065171. The next prime is 131065213. The reversal of 131065200 is 2560131.

131065200 is a `hidden beast` number, since 1 + 3 + 10 + 652 + 0 + 0 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 176029 + ... + 176771.

Almost surely, 2^131065200 is an apocalyptic number.

131065200 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 131065200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264901572).

131065200 is an abundant number, since it is smaller than the sum of its proper divisors (398737944).

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

131065200 is a wasteful number, since it uses less digits than its factorization.

131065200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 781 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 131065200 is about 11448.3710631688. The cubic root of 131065200 is about 507.9595520320.

The spelling of 131065200 in words is "one hundred thirty-one million, sixty-five thousand, two hundred".