144716544 has 180 divisors, whose sum is σ = 493658704. Its totient is φ = 41306112.

The previous prime is 144716513. The next prime is 144716549. The reversal of 144716544 is 445617441.

It is a happy number.

144716544 is a `hidden beast` number, since 1 + 44 + 71 + 6 + 544 = 666.

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 = 144716499 and 144716508.

It is not an unprimeable number, because it can be changed into a prime (144716549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 144654 + ... + 145650.

Almost surely, 2^144716544 is an apocalyptic number.

144716544 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 144716544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246829352).

144716544 is an abundant number, since it is smaller than the sum of its proper divisors (348942160).

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

144716544 is an frugal number, since it uses more digits than its factorization.

144716544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1032 (or 1009 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 144716544 is about 12029.8189512561. The cubic root of 144716544 is about 525.0162280698.

It can be divided in two parts, 1447165 and 44, that added together give a square (1447209 = 1203²).

The spelling of 144716544 in words is "one hundred forty-four million, seven hundred sixteen thousand, five hundred forty-four".