131665113694800 has 1680 divisors, whose sum is σ = 553098523893120. Its totient is φ = 29483979264000.

The previous prime is 131665113694771. The next prime is 131665113694837. The reversal of 131665113694800 is 8496311566131.

131665113694800 is a `hidden beast` number, since 1 + 3 + 1 + 6 + 6 + 511 + 36 + 94 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a super-2 number, since 2×131665113694800² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 33494048835 + ... + 33494052765.

Almost surely, 2^{131665113694800} is an apocalyptic number.

131665113694800 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 131665113694800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276549261946560).

131665113694800 is an abundant number, since it is smaller than the sum of its proper divisors (421433410198320).

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

131665113694800 is a wasteful number, since it uses less digits than its factorization.

131665113694800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4304 (or 4278 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 131665113694800 in words is "one hundred thirty-one trillion, six hundred sixty-five billion, one hundred thirteen million, six hundred ninety-four thousand, eight hundred".