144681312 has 24 divisors (see below), whose sum is σ = 379788696. Its totient is φ = 48227072.

The previous prime is 144681301. The next prime is 144681353. The reversal of 144681312 is 213186441.

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a self number, because there is not a number n which added to its sum of digits gives 144681312.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 753453 + ... + 753644.

It is an arithmetic number, because the mean of its divisors is an integer number (15824529).

Almost surely, 2^144681312 is an apocalyptic number.

144681312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

144681312 is an abundant number, since it is smaller than the sum of its proper divisors (235107384).

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

144681312 is a wasteful number, since it uses less digits than its factorization.

144681312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1507110 (or 1507102 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 144681312 is about 12028.3545009282. The cubic root of 144681312 is about 524.9736186290.

The spelling of 144681312 in words is "one hundred forty-four million, six hundred eighty-one thousand, three hundred twelve".