131135627766 has 128 divisors (see below), whose sum is σ = 317390008320. Its totient is φ = 35589456000.

The previous prime is 131135627761. The next prime is 131135627773. The reversal of 131135627766 is 667726531131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131135627761) 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 63 ways as a sum of consecutive naturals, for example, 5559225 + ... + 5582763.

It is an arithmetic number, because the mean of its divisors is an integer number (2479609440).

Almost surely, 2^131135627766 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131135627766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158695004160).

131135627766 is an abundant number, since it is smaller than the sum of its proper divisors (186254380554).

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

131135627766 is a wasteful number, since it uses less digits than its factorization.

131135627766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23762.

The product of its digits is 952560, while the sum is 48.

The spelling of 131135627766 in words is "one hundred thirty-one billion, one hundred thirty-five million, six hundred twenty-seven thousand, seven hundred sixty-six".