144417312 has 144 divisors (see below), whose sum is σ = 468500760. Its totient is φ = 41803776.

The previous prime is 144417311. The next prime is 144417319. The reversal of 144417312 is 213714441.

It can be written as a sum of positive squares in 4 ways, for example, as 80353296 + 64064016 = 8964^2 + 8004^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (144417311) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62514 + ... + 64782.

Almost surely, 2^144417312 is an apocalyptic number.

144417312 is a gapful number since it is divisible by the number (12) 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 144417312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234250380).

144417312 is an abundant number, since it is smaller than the sum of its proper divisors (324083448).

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

144417312 is a wasteful number, since it uses less digits than its factorization.

144417312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2315 (or 2304 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 144417312 is about 12017.3754206149. The cubic root of 144417312 is about 524.6541177530.

The spelling of 144417312 in words is "one hundred forty-four million, four hundred seventeen thousand, three hundred twelve".