131046394752 has 1024 divisors, whose sum is σ = 510625382400. Its totient is φ = 32105299968.

The previous prime is 131046394747. The next prime is 131046394777. The reversal of 131046394752 is 257493640131.

131046394752 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 4 + 639 + 4 + 7 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 131046394698 and 131046394707.

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 127 ways as a sum of consecutive naturals, for example, 678996768 + ... + 678996960.

It is an arithmetic number, because the mean of its divisors is an integer number (498657600).

Almost surely, 2^131046394752 is an apocalyptic number.

131046394752 is a gapful number since it is divisible by the number (12) 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 131046394752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255312691200).

131046394752 is an abundant number, since it is smaller than the sum of its proper divisors (379578987648).

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

131046394752 is a wasteful number, since it uses less digits than its factorization.

131046394752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 131046394752 in words is "one hundred thirty-one billion, forty-six million, three hundred ninety-four thousand, seven hundred fifty-two".