144029844 has 144 divisors (see below), whose sum is σ = 436101120. Its totient is φ = 39216960.

The previous prime is 144029827. The next prime is 144029849. The reversal of 144029844 is 448920441.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 144029799 and 144029808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144029849) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 804547 + ... + 804725.

It is an arithmetic number, because the mean of its divisors is an integer number (3028480).

Almost surely, 2^144029844 is an apocalyptic number.

144029844 is a gapful number since it is divisible by the number (14) 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 144029844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218050560).

144029844 is an abundant number, since it is smaller than the sum of its proper divisors (292071276).

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

144029844 is a wasteful number, since it uses less digits than its factorization.

144029844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 144029844 is about 12001.2434355778. The cubic root of 144029844 is about 524.1844862508.

The spelling of 144029844 in words is "one hundred forty-four million, twenty-nine thousand, eight hundred forty-four".