131287705875 has 224 divisors, whose sum is σ = 263422583424. Its totient is φ = 65127110400.

The previous prime is 131287705837. The next prime is 131287705877. The reversal of 131287705875 is 578507782131.

131287705875 is a `hidden beast` number, since 1 + 31 + 28 + 7 + 7 + 0 + 587 + 5 = 666.

It is not a de Polignac number, because 131287705875 - 2⁹ = 131287705363 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131287705877) by changing a digit.

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 223 ways as a sum of consecutive naturals, for example, 77546529 + ... + 77548221.

It is an arithmetic number, because the mean of its divisors is an integer number (1175993676).

Almost surely, 2^131287705875 is an apocalyptic number.

131287705875 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

131287705875 is an abundant number, since it is smaller than the sum of its proper divisors (132134877549).

131287705875 is an equidigital number, since it uses as much as digits as its factorization.

131287705875 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1786 (or 1761 counting only the distinct ones).

The product of its (nonzero) digits is 3292800, while the sum is 54.

The spelling of 131287705875 in words is "one hundred thirty-one billion, two hundred eighty-seven million, seven hundred five thousand, eight hundred seventy-five".