131724011134685 has 32 divisors (see below), whose sum is σ = 160936492032000. Its totient is φ = 103471676937216.

The previous prime is 131724011134669. The next prime is 131724011134697. The reversal of 131724011134685 is 586431110427131.

It is not a de Polignac number, because 131724011134685 - 2⁴ = 131724011134669 is a prime.

It is a super-3 number, since 3×131724011134685³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 984321839 + ... + 984455651.

It is an arithmetic number, because the mean of its divisors is an integer number (5029265376000).

Almost surely, 2^{131724011134685} is an apocalyptic number.

It is an amenable number.

131724011134685 is a deficient number, since it is larger than the sum of its proper divisors (29212480897315).

131724011134685 is a wasteful number, since it uses less digits than its factorization.

131724011134685 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137765.

The product of its (nonzero) digits is 483840, while the sum is 47.

The spelling of 131724011134685 in words is "one hundred thirty-one trillion, seven hundred twenty-four billion, eleven million, one hundred thirty-four thousand, six hundred eighty-five".