131868 has 60 divisors (see below), whose sum is σ = 386232. Its totient is φ = 38880.

The previous prime is 131861. The next prime is 131891. The reversal of 131868 is 868131.

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (1152) is a multiple of the sum of its prime factors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131861) by changing a digit.

131868 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3546 + ... + 3582.

2¹³¹⁸⁶⁸ is an apocalyptic number.

131868 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 131868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193116).

131868 is an abundant number, since it is smaller than the sum of its proper divisors (254364).

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

131868 is a wasteful number, since it uses less digits than its factorization.

131868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 53 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 131868 is about 363.1363380330. The cubic root of 131868 is about 50.8994558915.

Subtracting from 131868 its sum of digits (27), we obtain a triangular number (131841 = T₅₁₃).

131868 divided by its sum of digits (27) gives a palindrome (4884).

Adding to 131868 its reverse (868131), we get a palindrome (999999).

It can be divided in two parts, 131 and 868, that added together give a palindrome (999).

The spelling of 131868 in words is "one hundred thirty-one thousand, eight hundred sixty-eight".