144400730144 has 36 divisors (see below), whose sum is σ = 312482890062. Its totient is φ = 65636693760.

The previous prime is 144400730143. The next prime is 144400730179. The reversal of 144400730144 is 441037004441.

It can be written as a sum of positive squares in only one way, i.e., 91506250000 + 52894480144 = 302500^2 + 229988^2 .

It is a super-2 number, since 2×144400730144² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 144400730144.

It is not an unprimeable number, because it can be changed into a prime (144400730143) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18642917 + ... + 18650660.

Almost surely, 2^144400730144 is an apocalyptic number.

It is an amenable number.

144400730144 is an abundant number, since it is smaller than the sum of its proper divisors (168082159918).

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

144400730144 is a wasteful number, since it uses less digits than its factorization.

144400730144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37293609 (or 37293590 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 32.

Adding to 144400730144 its reverse (441037004441), we get a palindrome (585437734585).

The spelling of 144400730144 in words is "one hundred forty-four billion, four hundred million, seven hundred thirty thousand, one hundred forty-four".