143664 has 40 divisors (see below), whose sum is σ = 385392. Its totient is φ = 46080.

The previous prime is 143653. The next prime is 143669. The reversal of 143664 is 466341.

143664 = 38² + 39² + ... + 78².

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 143664.

It is not an unprimeable number, because it can be changed into a prime (143669) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1932 + ... + 2004.

2¹⁴³⁶⁶⁴ 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 143664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192696).

143664 is an abundant number, since it is smaller than the sum of its proper divisors (241728).

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

143664 is a wasteful number, since it uses less digits than its factorization.

143664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 119 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 143664 is about 379.0303417934. The cubic root of 143664 is about 52.3740290469.

The spelling of 143664 in words is "one hundred forty-three thousand, six hundred sixty-four".