131283051768 has 192 divisors, whose sum is σ = 391264473600. Its totient is φ = 39437280000.

The previous prime is 131283051751. The next prime is 131283051817. The reversal of 131283051768 is 867150382131.

It is a happy number.

131283051768 is a `hidden beast` number, since 1 + 3 + 128 + 3 + 0 + 517 + 6 + 8 = 666.

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 47 ways as a sum of consecutive naturals, for example, 51462093 + ... + 51464643.

It is an arithmetic number, because the mean of its divisors is an integer number (2037835800).

Almost surely, 2^131283051768 is an apocalyptic number.

131283051768 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 131283051768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195632236800).

131283051768 is an abundant number, since it is smaller than the sum of its proper divisors (259981421832).

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

131283051768 is a wasteful number, since it uses less digits than its factorization.

131283051768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3114 (or 3107 counting only the distinct ones).

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

The spelling of 131283051768 in words is "one hundred thirty-one billion, two hundred eighty-three million, fifty-one thousand, seven hundred sixty-eight".