143264 has 36 divisors (see below), whose sum is σ = 318402. Its totient is φ = 63360.

The previous prime is 143263. The next prime is 143281. The reversal of 143264 is 462341.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 94864 + 48400 = 308^2 + 220^2 .

It is a nialpdrome in base 11.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 143264.

It is not an unprimeable number, because it can be changed into a prime (143261) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3854 + ... + 3890.

2¹⁴³²⁶⁴ 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 143264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159201).

143264 is an abundant number, since it is smaller than the sum of its proper divisors (175138).

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

143264 is a wasteful number, since it uses less digits than its factorization.

143264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 50 counting only the distinct ones).

The product of its digits is 576, while the sum is 20.

The square root of 143264 is about 378.5023117499. The cubic root of 143264 is about 52.3253759747.

The spelling of 143264 in words is "one hundred forty-three thousand, two hundred sixty-four".