144727344 has 160 divisors (see below), whose sum is σ = 437114880. Its totient is φ = 45792000.

The previous prime is 144727337. The next prime is 144727361. The reversal of 144727344 is 443727441.

It is a happy number.

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

Its product of digits (75264) is a multiple of the sum of its prime factors (256).

It is a junction number, because it is equal to n+sod(n) for n = 144727299 and 144727308.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1352539 + ... + 1352645.

It is an arithmetic number, because the mean of its divisors is an integer number (2731968).

Almost surely, 2^144727344 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 144727344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218557440).

144727344 is an abundant number, since it is smaller than the sum of its proper divisors (292387536).

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

144727344 is a wasteful number, since it uses less digits than its factorization.

144727344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 244 counting only the distinct ones).

The product of its digits is 75264, while the sum is 36.

The square root of 144727344 is about 12030.2678274426. The cubic root of 144727344 is about 525.0292881620.

144727344 divided by its sum of digits (36) gives a palindrome (4020204).

The spelling of 144727344 in words is "one hundred forty-four million, seven hundred twenty-seven thousand, three hundred forty-four".