131673168 has 160 divisors (see below), whose sum is σ = 417532800. Its totient is φ = 39726720.

The previous prime is 131673133. The next prime is 131673169. The reversal of 131673168 is 861376131.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131673169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 574878 + ... + 575106.

It is an arithmetic number, because the mean of its divisors is an integer number (2609580).

Almost surely, 2^131673168 is an apocalyptic number.

131673168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131673168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208766400).

131673168 is an abundant number, since it is smaller than the sum of its proper divisors (285859632).

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

131673168 is a wasteful number, since it uses less digits than its factorization.

131673168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 245 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 131673168 is about 11474.8929406771. The cubic root of 131673168 is about 508.7437593586.

It can be divided in two parts, 131673 and 168, that added together give a triangular number (131841 = T₅₁₃).

The spelling of 131673168 in words is "one hundred thirty-one million, six hundred seventy-three thousand, one hundred sixty-eight".