131608169 has 48 divisors (see below), whose sum is σ = 180838656. Its totient is φ = 94348800.

The previous prime is 131608159. The next prime is 131608199. The reversal of 131608169 is 961806131.

131608169 = 200² + 201² + ... + 738².

It is not a de Polignac number, because 131608169 - 2⁸ = 131607913 is a prime.

It is a super-2 number, since 2×131608169² = 34641420295065122, which contains 22 as substring.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131608109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 485504 + ... + 485774.

It is an arithmetic number, because the mean of its divisors is an integer number (3767472).

Almost surely, 2^131608169 is an apocalyptic number.

It is an amenable number.

131608169 is a deficient number, since it is larger than the sum of its proper divisors (49230487).

131608169 is a wasteful number, since it uses less digits than its factorization.

131608169 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 35.

The square root of 131608169 is about 11472.0603642066. The cubic root of 131608169 is about 508.6600336742.

The spelling of 131608169 in words is "one hundred thirty-one million, six hundred eight thousand, one hundred sixty-nine".