131248234656 has 1152 divisors, whose sum is σ = 517786214400. Its totient is φ = 31677557760.

The previous prime is 131248234633. The next prime is 131248234687. The reversal of 131248234656 is 656432842131.

131248234656 is a `hidden beast` number, since 1 + 312 + 48 + 234 + 65 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 944231835 + ... + 944231973.

It is an arithmetic number, because the mean of its divisors is an integer number (449467200).

Almost surely, 2^131248234656 is an apocalyptic number.

131248234656 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 131248234656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258893107200).

131248234656 is an abundant number, since it is smaller than the sum of its proper divisors (386537979744).

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

131248234656 is a wasteful number, since it uses less digits than its factorization.

131248234656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 264 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The spelling of 131248234656 in words is "one hundred thirty-one billion, two hundred forty-eight million, two hundred thirty-four thousand, six hundred fifty-six".