144675648 has 126 divisors (see below), whose sum is σ = 449821554. Its totient is φ = 44195328.

The previous prime is 144675631. The next prime is 144675649. The reversal of 144675648 is 846576441.

It can be written as a sum of positive squares in only one way, i.e., 100160064 + 44515584 = 10008^2 + 6672^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144675649) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1040763 + ... + 1040901.

Almost surely, 2^144675648 is an apocalyptic number.

144675648 is a gapful number since it is divisible by the number (18) 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 144675648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224910777).

144675648 is an abundant number, since it is smaller than the sum of its proper divisors (305145906).

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

144675648 is a wasteful number, since it uses less digits than its factorization.

144675648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 157 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 144675648 is about 12028.1190549479. The cubic root of 144675648 is about 524.9667679645.

The spelling of 144675648 in words is "one hundred forty-four million, six hundred seventy-five thousand, six hundred forty-eight".