131775685687251 has 72 divisors (see below), whose sum is σ = 196249338558000. Its totient is φ = 85181613963264.

The previous prime is 131775685687223. The next prime is 131775685687307. The reversal of 131775685687251 is 152786586577131.

131775685687251 is a `hidden beast` number, since 1 + 3 + 1 + 7 + 7 + 5 + 6 + 8 + 568 + 7 + 2 + 51 = 666.

It is not a de Polignac number, because 131775685687251 - 2⁶ = 131775685687187 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 131775685687251.

It is not an unprimeable number, because it can be changed into a prime (131775685687351) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3343777035 + ... + 3343816443.

It is an arithmetic number, because the mean of its divisors is an integer number (2725685257750).

Almost surely, 2^{131775685687251} is an apocalyptic number.

131775685687251 is a deficient number, since it is larger than the sum of its proper divisors (64473652870749).

131775685687251 is a wasteful number, since it uses less digits than its factorization.

131775685687251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40641 (or 40559 counting only the distinct ones).

The product of its digits is 592704000, while the sum is 72.

The spelling of 131775685687251 in words is "one hundred thirty-one trillion, seven hundred seventy-five billion, six hundred eighty-five million, six hundred eighty-seven thousand, two hundred fifty-one".