144914112 has 168 divisors, whose sum is σ = 480137216. Its totient is φ = 40932864.

The previous prime is 144914087. The next prime is 144914123. The reversal of 144914112 is 211419441.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 511923 + ... + 512205.

Almost surely, 2^144914112 is an apocalyptic number.

144914112 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 144914112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240068608).

144914112 is an abundant number, since it is smaller than the sum of its proper divisors (335223104).

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

144914112 is a wasteful number, since it uses less digits than its factorization.

144914112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 422 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 144914112 is about 12038.0277454407. The cubic root of 144914112 is about 525.2550379906.

The spelling of 144914112 in words is "one hundred forty-four million, nine hundred fourteen thousand, one hundred twelve".