144805136 has 80 divisors (see below), whose sum is σ = 330336000. Its totient is φ = 60217344.

The previous prime is 144805109. The next prime is 144805187. The reversal of 144805136 is 631508441.

144805136 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 727565 + ... + 727763.

It is an arithmetic number, because the mean of its divisors is an integer number (4129200).

Almost surely, 2^144805136 is an apocalyptic number.

144805136 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 144805136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165168000).

144805136 is an abundant number, since it is smaller than the sum of its proper divisors (185530864).

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

144805136 is a wasteful number, since it uses less digits than its factorization.

144805136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 144805136 is about 12033.5005713217. The cubic root of 144805136 is about 525.1233403331.

The spelling of 144805136 in words is "one hundred forty-four million, eight hundred five thousand, one hundred thirty-six".