131447993695200 has 1728 divisors, whose sum is σ = 575800408415232. Its totient is φ = 27476383334400.

The previous prime is 131447993695177. The next prime is 131447993695201. The reversal of 131447993695200 is 2596399744131.

It is a happy number.

131447993695200 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 4 + 79 + 9 + 36 + 9 + 520 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131447993695201) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 81797132797 + ... + 81797134403.

It is an arithmetic number, because the mean of its divisors is an integer number (333217828944).

Almost surely, 2^{131447993695200} is an apocalyptic number.

131447993695200 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 131447993695200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287900204207616).

131447993695200 is an abundant number, since it is smaller than the sum of its proper divisors (444352414720032).

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

131447993695200 is a wasteful number, since it uses less digits than its factorization.

131447993695200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2737 (or 2721 counting only the distinct ones).

The product of its (nonzero) digits is 44089920, while the sum is 63.

The spelling of 131447993695200 in words is "one hundred thirty-one trillion, four hundred forty-seven billion, nine hundred ninety-three million, six hundred ninety-five thousand, two hundred".