144851968 has 88 divisors (see below), whose sum is σ = 314370072. Its totient is φ = 66453504.

The previous prime is 144851963. The next prime is 144851969. The reversal of 144851968 is 869158441.

It can be written as a sum of positive squares in 4 ways, for example, as 39337984 + 105513984 = 6272^2 + 10272^2 .

It is not an unprimeable number, because it can be changed into a prime (144851963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 922546 + ... + 922702.

Almost surely, 2^144851968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144851968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157185036).

144851968 is an abundant number, since it is smaller than the sum of its proper divisors (169518104).

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

144851968 is a wasteful number, since it uses less digits than its factorization.

144851968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 229 counting only the distinct ones).

The product of its digits is 276480, while the sum is 46.

The square root of 144851968 is about 12035.4463149482. The cubic root of 144851968 is about 525.1799449679.

The spelling of 144851968 in words is "one hundred forty-four million, eight hundred fifty-one thousand, nine hundred sixty-eight".