144790336 has 112 divisors (see below), whose sum is σ = 327720960. Its totient is φ = 63106560.

The previous prime is 144790319. The next prime is 144790351. The reversal of 144790336 is 633097441.

It is a junction number, because it is equal to n+sod(n) for n = 144790295 and 144790304.

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, 866925 + ... + 867091.

It is an arithmetic number, because the mean of its divisors is an integer number (2926080).

Almost surely, 2^144790336 is an apocalyptic number.

144790336 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 144790336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163860480).

144790336 is an abundant number, since it is smaller than the sum of its proper divisors (182930624).

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

144790336 is a wasteful number, since it uses less digits than its factorization.

144790336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 37.

The square root of 144790336 is about 12032.8856057057. The cubic root of 144790336 is about 525.1054494156.

The spelling of 144790336 in words is "one hundred forty-four million, seven hundred ninety thousand, three hundred thirty-six".