144145040 has 160 divisors (see below), whose sum is σ = 395974656. Its totient is φ = 48291840.

The previous prime is 144144977. The next prime is 144145061. The reversal of 144145040 is 40541441.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 144144997 and 144145015.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 547949 + ... + 548211.

Almost surely, 2^144145040 is an apocalyptic number.

144145040 is a gapful number since it is divisible by the number (10) 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 144145040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197987328).

144145040 is an abundant number, since it is smaller than the sum of its proper divisors (251829616).

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

144145040 is a wasteful number, since it uses less digits than its factorization.

144145040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

The square root of 144145040 is about 12006.0418123543. The cubic root of 144145040 is about 524.3241977233.

Adding to 144145040 its reverse (40541441), we get a palindrome (184686481).

The spelling of 144145040 in words is "one hundred forty-four million, one hundred forty-five thousand, forty".