144912768 has 384 divisors, whose sum is σ = 537580800. Its totient is φ = 33546240.

The previous prime is 144912767. The next prime is 144912769. The reversal of 144912768 is 867219441.

It is an interprime number because it is at equal distance from previous prime (144912767) and next prime (144912769).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144912767) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4996978 + ... + 4997006.

It is an arithmetic number, because the mean of its divisors is an integer number (1399950).

Almost surely, 2^144912768 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 144912768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268790400).

144912768 is an abundant number, since it is smaller than the sum of its proper divisors (392668032).

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

144912768 is a wasteful number, since it uses less digits than its factorization.

144912768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 65 counting only the distinct ones).

The product of its digits is 96768, while the sum is 42.

The square root of 144912768 is about 12037.9719222135. The cubic root of 144912768 is about 525.2534141668.

The spelling of 144912768 in words is "one hundred forty-four million, nine hundred twelve thousand, seven hundred sixty-eight".