131146234065 has 96 divisors (see below), whose sum is σ = 286218945792. Its totient is φ = 53962560000.

The previous prime is 131146234033. The next prime is 131146234133. The reversal of 131146234065 is 560432641131.

131146234065 is a `hidden beast` number, since 13 + 1 + 14 + 623 + 4 + 0 + 6 + 5 = 666.

It is not a de Polignac number, because 131146234065 - 2⁵ = 131146234033 is a prime.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 162595 + ... + 537335.

It is an arithmetic number, because the mean of its divisors is an integer number (2981447352).

Almost surely, 2^131146234065 is an apocalyptic number.

131146234065 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131146234065 is an abundant number, since it is smaller than the sum of its proper divisors (155072711727).

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

131146234065 is a wasteful number, since it uses less digits than its factorization.

131146234065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374871 (or 374868 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 131146234065 its reverse (560432641131), we get a palindrome (691578875196).

The spelling of 131146234065 in words is "one hundred thirty-one billion, one hundred forty-six million, two hundred thirty-four thousand, sixty-five".