144075312 has 120 divisors (see below), whose sum is σ = 431409888. Its totient is φ = 44774400.

The previous prime is 144075293. The next prime is 144075313. The reversal of 144075312 is 213570441.

It is not an unprimeable number, because it can be changed into a prime (144075313) by changing a digit.

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, 135262 + ... + 136322.

Almost surely, 2^144075312 is an apocalyptic number.

144075312 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 144075312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215704944).

144075312 is an abundant number, since it is smaller than the sum of its proper divisors (287334576).

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

144075312 is a wasteful number, since it uses less digits than its factorization.

144075312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1139 (or 1130 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 144075312 is about 12003.1375898138. The cubic root of 144075312 is about 524.2396394330.

The spelling of 144075312 in words is "one hundred forty-four million, seventy-five thousand, three hundred twelve".