131080026168 has 448 divisors, whose sum is σ = 461079864000. Its totient is φ = 33995427840.

The previous prime is 131080026163. The next prime is 131080026221. The reversal of 131080026168 is 861620080131.

131080026168 is a `hidden beast` number, since 1 + 31 + 0 + 8 + 0 + 0 + 2 + 616 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131080026163) by changing a digit.

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 111 ways as a sum of consecutive naturals, for example, 32371408 + ... + 32375456.

It is an arithmetic number, because the mean of its divisors is an integer number (1029196125).

Almost surely, 2^131080026168 is an apocalyptic number.

131080026168 is a gapful number since it is divisible by the number (18) 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 131080026168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230539932000).

131080026168 is an abundant number, since it is smaller than the sum of its proper divisors (329999837832).

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

131080026168 is a wasteful number, since it uses less digits than its factorization.

131080026168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4154 (or 4135 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 131080026168 in words is "one hundred thirty-one billion, eighty million, twenty-six thousand, one hundred sixty-eight".