131842845856656 has 405 divisors, whose sum is σ = 417004565324529. Its totient is φ = 38856049056000.

The previous prime is 131842845856649. The next prime is 131842845856699. The reversal of 131842845856656 is 656658548248131.

The square root of 131842845856656 is 11482284.

It is a perfect power (a square), and thus also a powerful number.

131842845856656 is a `hidden beast` number, since 1 + 3 + 1 + 8 + 4 + 2 + 8 + 4 + 5 + 8 + 566 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 117974789024400 + 13868056832256 = 10861620^2 + 3723984^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 56079473881 + ... + 56079476231.

Almost surely, 2^{131842845856656} is an apocalyptic number.

131842845856656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

131842845856656 is the 11482284-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131842845856656

131842845856656 is an abundant number, since it is smaller than the sum of its proper divisors (285161719467873).

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

131842845856656 is an equidigital number, since it uses as much as digits as its factorization.

131842845856656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4812 (or 2404 counting only the distinct ones).

The product of its digits is 1327104000, while the sum is 72.

The spelling of 131842845856656 in words is "one hundred thirty-one trillion, eight hundred forty-two billion, eight hundred forty-five million, eight hundred fifty-six thousand, six hundred fifty-six".