131195247456 has 768 divisors, whose sum is σ = 460886630400. Its totient is φ = 31721766912.

The previous prime is 131195247433. The next prime is 131195247487. The reversal of 131195247456 is 654742591131.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 1226123755 + ... + 1226123861.

It is an arithmetic number, because the mean of its divisors is an integer number (600112800).

Almost surely, 2^131195247456 is an apocalyptic number.

131195247456 is a gapful number since it is divisible by the number (16) 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 131195247456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230443315200).

131195247456 is an abundant number, since it is smaller than the sum of its proper divisors (329691382944).

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

131195247456 is a wasteful number, since it uses less digits than its factorization.

131195247456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 323 counting only the distinct ones).

The product of its digits is 907200, while the sum is 48.

The spelling of 131195247456 in words is "one hundred thirty-one billion, one hundred ninety-five million, two hundred forty-seven thousand, four hundred fifty-six".