131819419368 has 768 divisors, whose sum is σ = 467970048000. Its totient is φ = 33286256640.

The previous prime is 131819419367. The next prime is 131819419379. The reversal of 131819419368 is 863914918131.

131819419368 is a `hidden beast` number, since 1 + 3 + 181 + 94 + 19 + 368 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (131819419367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1037948121 + ... + 1037948247.

It is an arithmetic number, because the mean of its divisors is an integer number (609336000).

Almost surely, 2^131819419368 is an apocalyptic number.

131819419368 is a gapful number since it is divisible by the number (18) 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 131819419368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233985024000).

131819419368 is an abundant number, since it is smaller than the sum of its proper divisors (336150628632).

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

131819419368 is a wasteful number, since it uses less digits than its factorization.

131819419368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 266 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 54.

The spelling of 131819419368 in words is "one hundred thirty-one billion, eight hundred nineteen million, four hundred nineteen thousand, three hundred sixty-eight".