131569148768256 has 156 divisors (see below), whose sum is σ = 381843425156440. Its totient is φ = 43648530186240.

The previous prime is 131569148768251. The next prime is 131569148768333. The reversal of 131569148768256 is 652867841965131.

131569148768256 is a `hidden beast` number, since 1 + 3 + 1 + 5 + 6 + 91 + 487 + 6 + 8 + 2 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (131569148768251) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 679141 + ... + 16235748.

Almost surely, 2^{131569148768256} is an apocalyptic number.

131569148768256 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 131569148768256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190921712578220).

131569148768256 is an abundant number, since it is smaller than the sum of its proper divisors (250274276388184).

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

131569148768256 is a wasteful number, since it uses less digits than its factorization.

131569148768256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16915130 (or 16915105 counting only the distinct ones).

The product of its digits is 522547200, while the sum is 72.

The spelling of 131569148768256 in words is "one hundred thirty-one trillion, five hundred sixty-nine billion, one hundred forty-eight million, seven hundred sixty-eight thousand, two hundred fifty-six".