144894672 has 240 divisors, whose sum is σ = 481375440. Its totient is φ = 40255488.

The previous prime is 144894671. The next prime is 144894691. The reversal of 144894672 is 276498441.

It can be written as a sum of positive squares in 8 ways, for example, as 2903616 + 141991056 = 1704^2 + 11916^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144894671) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 922818 + ... + 922974.

It is an arithmetic number, because the mean of its divisors is an integer number (2005731).

Almost surely, 2^144894672 is an apocalyptic number.

144894672 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 144894672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240687720).

144894672 is an abundant number, since it is smaller than the sum of its proper divisors (336480768).

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

144894672 is a wasteful number, since it uses less digits than its factorization.

144894672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 221 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 144894672 is about 12037.2202771238. The cubic root of 144894672 is about 525.2315495615.

The spelling of 144894672 in words is "one hundred forty-four million, eight hundred ninety-four thousand, six hundred seventy-two".