131668788672 has 168 divisors, whose sum is σ = 380350776000. Its totient is φ = 43548088320.

The previous prime is 131668788659. The next prime is 131668788697. The reversal of 131668788672 is 276887866131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65866329 + ... + 65868327.

Almost surely, 2^131668788672 is an apocalyptic number.

131668788672 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 131668788672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190175388000).

131668788672 is an abundant number, since it is smaller than the sum of its proper divisors (248681987328).

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

131668788672 is a wasteful number, since it uses less digits than its factorization.

131668788672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2851 (or 2838 counting only the distinct ones).

The product of its digits is 32514048, while the sum is 63.

The spelling of 131668788672 in words is "one hundred thirty-one billion, six hundred sixty-eight million, seven hundred eighty-eight thousand, six hundred seventy-two".