144848736 has 240 divisors, whose sum is σ = 461039040. Its totient is φ = 44513280.

The previous prime is 144848681. The next prime is 144848741. The reversal of 144848736 is 637848441.

It is a junction number, because it is equal to n+sod(n) for n = 144848691 and 144848700.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3081865 + ... + 3081911.

It is an arithmetic number, because the mean of its divisors is an integer number (1920996).

Almost surely, 2^144848736 is an apocalyptic number.

144848736 is a gapful number since it is divisible by the number (16) 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 144848736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230519520).

144848736 is an abundant number, since it is smaller than the sum of its proper divisors (316190304).

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

144848736 is a wasteful number, since it uses less digits than its factorization.

144848736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 122 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The square root of 144848736 is about 12035.3120441474. The cubic root of 144848736 is about 525.1760389246.

It can be divided in two parts, 14484 and 8736, that added together give a triangular number (23220 = T₂₁₅).

The spelling of 144848736 in words is "one hundred forty-four million, eight hundred forty-eight thousand, seven hundred thirty-six".