144079056 has 90 divisors (see below), whose sum is σ = 443263730. Its totient is φ = 43655040.

The previous prime is 144079049. The next prime is 144079079. The reversal of 144079056 is 650970441.

It can be written as a sum of positive squares in only one way, i.e., 141134400 + 2944656 = 11880^2 + 1716^2 .

It is a super-3 number, since 3×144079056³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 144079056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 13290 + ... + 21558.

Almost surely, 2^144079056 is an apocalyptic number.

144079056 is a gapful number since it is divisible by the number (16) 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 144079056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221631865).

144079056 is an abundant number, since it is smaller than the sum of its proper divisors (299184674).

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

144079056 is a wasteful number, since it uses less digits than its factorization.

144079056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8305 (or 8285 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 144079056 is about 12003.2935480226. The cubic root of 144079056 is about 524.2441804290.

The spelling of 144079056 in words is "one hundred forty-four million, seventy-nine thousand, fifty-six".