144934916560 has 120 divisors (see below), whose sum is σ = 392121543240. Its totient is φ = 49675272192.

The previous prime is 144934916549. The next prime is 144934916569. The reversal of 144934916560 is 65619439441.

144934916560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 11887977024 + 133046939536 = 109032^2 + 364756^2 .

It is a super-2 number, since 2×144934916560² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 144934916498 and 144934916507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144934916569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19349296 + ... + 19356784.

It is an arithmetic number, because the mean of its divisors is an integer number (3267679527).

Almost surely, 2^144934916560 is an apocalyptic number.

144934916560 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 144934916560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196060771620).

144934916560 is an abundant number, since it is smaller than the sum of its proper divisors (247186626680).

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

144934916560 is a wasteful number, since it uses less digits than its factorization.

144934916560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12453 (or 12440 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 52.

The spelling of 144934916560 in words is "one hundred forty-four billion, nine hundred thirty-four million, nine hundred sixteen thousand, five hundred sixty".