144294912 has 176 divisors, whose sum is σ = 453942720. Its totient is φ = 45121536.

The previous prime is 144294901. The next prime is 144294959. The reversal of 144294912 is 219492441.

144294912 is a `hidden beast` number, since 144 + 29 + 491 + 2 = 666.

144294912 is nontrivially palindromic in base 15.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 469863 + ... + 470169.

It is an arithmetic number, because the mean of its divisors is an integer number (2579220).

Almost surely, 2^144294912 is an apocalyptic number.

144294912 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 144294912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226971360).

144294912 is an abundant number, since it is smaller than the sum of its proper divisors (309647808).

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

144294912 is a wasteful number, since it uses less digits than its factorization.

144294912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 329 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 144294912 is about 12012.2817149782. The cubic root of 144294912 is about 524.5058534069.

The spelling of 144294912 in words is "one hundred forty-four million, two hundred ninety-four thousand, nine hundred twelve".