144307968 has 144 divisors (see below), whose sum is σ = 465050880. Its totient is φ = 38780928.

The previous prime is 144307903. The next prime is 144307979. The reversal of 144307968 is 869703441.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90603 + ... + 92181.

It is an arithmetic number, because the mean of its divisors is an integer number (3229520).

Almost surely, 2^144307968 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 144307968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232525440).

144307968 is an abundant number, since it is smaller than the sum of its proper divisors (320742912).

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

144307968 is a wasteful number, since it uses less digits than its factorization.

144307968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1622 (or 1608 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 144307968 is about 12012.8251464841. The cubic root of 144307968 is about 524.5216722642.

The spelling of 144307968 in words is "one hundred forty-four million, three hundred seven thousand, nine hundred sixty-eight".