131753264227641 has 48 divisors (see below), whose sum is σ = 219265677656064. Its totient is φ = 74675802452832.

The previous prime is 131753264227603. The next prime is 131753264227699. The reversal of 131753264227641 is 146722462357131.

131753264227641 is a `hidden beast` number, since 1 + 3 + 1 + 7 + 5 + 326 + 4 + 2 + 276 + 41 = 666.

It is not a de Polignac number, because 131753264227641 - 2¹⁸ = 131753263965497 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131753264227441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29459800 + ... + 33636086.

It is an arithmetic number, because the mean of its divisors is an integer number (4568034951168).

Almost surely, 2^{131753264227641} is an apocalyptic number.

It is an amenable number.

131753264227641 is a deficient number, since it is larger than the sum of its proper divisors (87512413428423).

131753264227641 is a wasteful number, since it uses less digits than its factorization.

131753264227641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4180370 (or 4180367 counting only the distinct ones).

The product of its digits is 10160640, while the sum is 54.

The spelling of 131753264227641 in words is "one hundred thirty-one trillion, seven hundred fifty-three billion, two hundred sixty-four million, two hundred twenty-seven thousand, six hundred forty-one".