131065164172800 has 2880 divisors, whose sum is σ = 571812089808960. Its totient is φ = 28240773120000.

The previous prime is 131065164172781. The next prime is 131065164172801. The reversal of 131065164172800 is 8271461560131.

131065164172800 is a `hidden beast` number, since 1 + 3 + 10 + 6 + 516 + 41 + 7 + 2 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131065164172801) 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, 61561842136 + ... + 61561844264.

It is an arithmetic number, because the mean of its divisors is an integer number (198545864517).

Almost surely, 2^{131065164172800} is an apocalyptic number.

131065164172800 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 131065164172800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285906044904480).

131065164172800 is an abundant number, since it is smaller than the sum of its proper divisors (440746925636160).

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

131065164172800 is a wasteful number, since it uses less digits than its factorization.

131065164172800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2325 (or 2301 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 131065164172800 in words is "one hundred thirty-one trillion, sixty-five billion, one hundred sixty-four million, one hundred seventy-two thousand, eight hundred".