144921312 has 72 divisors (see below), whose sum is σ = 427406616. Its totient is φ = 48304512.

The previous prime is 144921307. The next prime is 144921353. The reversal of 144921312 is 213129441.

It is a happy number.

144921312 is a `hidden beast` number, since 1 + 449 + 213 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 1543 + ... + 17094.

It is an arithmetic number, because the mean of its divisors is an integer number (5936203).

Almost surely, 2^144921312 is an apocalyptic number.

144921312 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 144921312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213703308).

144921312 is an abundant number, since it is smaller than the sum of its proper divisors (282485304).

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

144921312 is an equidigital number, since it uses as much as digits as its factorization.

144921312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18662 (or 18642 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 144921312 is about 12038.3267940358. The cubic root of 144921312 is about 525.2637368758.

The spelling of 144921312 in words is "one hundred forty-four million, nine hundred twenty-one thousand, three hundred twelve".