131127350364756 has 48 divisors (see below), whose sum is σ = 359957432378880. Its totient is φ = 41137992270720.

The previous prime is 131127350364641. The next prime is 131127350364781. The reversal of 131127350364756 is 657463053721131.

131127350364756 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 2 + 7 + 3 + 503 + 64 + 75 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 35710060900 + ... + 35710064571.

It is an arithmetic number, because the mean of its divisors is an integer number (7499113174560).

Almost surely, 2^{131127350364756} is an apocalyptic number.

It is an amenable number.

131127350364756 is an abundant number, since it is smaller than the sum of its proper divisors (228830082014124).

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

131127350364756 is a wasteful number, since it uses less digits than its factorization.

131127350364756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71420125501 (or 71420125493 counting only the distinct ones).

The product of its (nonzero) digits is 9525600, while the sum is 54.

The spelling of 131127350364756 in words is "one hundred thirty-one trillion, one hundred twenty-seven billion, three hundred fifty million, three hundred sixty-four thousand, seven hundred fifty-six".