144979968 has 96 divisors (see below), whose sum is σ = 441866880. Its totient is φ = 41410560.

The previous prime is 144979951. The next prime is 144979973. The reversal of 144979968 is 869979441.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×144979968² = 42038382242562048, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41323 + ... + 44693.

It is an arithmetic number, because the mean of its divisors is an integer number (4602780).

Almost surely, 2^144979968 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 144979968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220933440).

144979968 is an abundant number, since it is smaller than the sum of its proper divisors (296886912).

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

144979968 is an equidigital number, since it uses as much as digits as its factorization.

144979968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3403 (or 3383 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 57.

The square root of 144979968 is about 12040.7627665360. The cubic root of 144979968 is about 525.3345930610.

The spelling of 144979968 in words is "one hundred forty-four million, nine hundred seventy-nine thousand, nine hundred sixty-eight".