144624 has 40 divisors (see below), whose sum is σ = 392832. Its totient is φ = 45760.

The previous prime is 144611. The next prime is 144629. The reversal of 144624 is 426441.

It is a super-2 number, since 2×144624² = 41832202752, which contains 22 as substring.

It is a Smith number, since the sum of its digits (21) coincides with the sum of the digits of its prime factors.

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 144624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144629) 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, 1039 + ... + 1169.

2¹⁴⁴⁶²⁴ 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 144624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196416).

144624 is an abundant number, since it is smaller than the sum of its proper divisors (248208).

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

144624 is a wasteful number, since it uses less digits than its factorization.

144624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 159 counting only the distinct ones).

The product of its digits is 768, while the sum is 21.

The square root of 144624 is about 380.2946226283. The cubic root of 144624 is about 52.4904290943.

The spelling of 144624 in words is "one hundred forty-four thousand, six hundred twenty-four".