131664 has 40 divisors (see below), whose sum is σ = 368032. Its totient is φ = 40320.

The previous prime is 131641. The next prime is 131671. The reversal of 131664 is 466131.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 131664.

It is a congruent number.

It is an unprimeable number.

131664 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 7 ways as a sum of consecutive naturals, for example, 519 + ... + 729.

2¹³¹⁶⁶⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184016).

131664 is an abundant number, since it is smaller than the sum of its proper divisors (236368).

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

131664 is a wasteful number, since it uses less digits than its factorization.

131664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 229 counting only the distinct ones).

The product of its digits is 432, while the sum is 21.

The square root of 131664 is about 362.8553430777. The cubic root of 131664 is about 50.8731951660.

Adding to 131664 its reverse (466131), we get a palindrome (597795).

The spelling of 131664 in words is "one hundred thirty-one thousand, six hundred sixty-four".