131688153 has 8 divisors (see below), whose sum is σ = 195093600. Its totient is φ = 87792084.

The previous prime is 131688149. The next prime is 131688163. The reversal of 131688153 is 351886131.

It is not a de Polignac number, because 131688153 - 2² = 131688149 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (131688113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2438643 + ... + 2438696.

It is an arithmetic number, because the mean of its divisors is an integer number (24386700).

Almost surely, 2^131688153 is an apocalyptic number.

It is an amenable number.

131688153 is a deficient number, since it is larger than the sum of its proper divisors (63405447).

131688153 is an equidigital number, since it uses as much as digits as its factorization.

131688153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4877348 (or 4877342 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 131688153 is about 11475.5458693694. The cubic root of 131688153 is about 508.7630577374.

It can be divided in two parts, 131688 and 153, that added together give a triangular number (131841 = T₅₁₃).

The spelling of 131688153 in words is "one hundred thirty-one million, six hundred eighty-eight thousand, one hundred fifty-three".