144080736 has 48 divisors (see below), whose sum is σ = 378928368. Its totient is φ = 47936000.

The previous prime is 144080731. The next prime is 144080749. The reversal of 144080736 is 637080441.

144080736 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 144080697 and 144080706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144080731) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66226 + ... + 68366.

It is an arithmetic number, because the mean of its divisors is an integer number (7894341).

Almost surely, 2^144080736 is an apocalyptic number.

144080736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

144080736 is an abundant number, since it is smaller than the sum of its proper divisors (234847632).

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

144080736 is a wasteful number, since it uses less digits than its factorization.

144080736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2855 (or 2847 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 144080736 is about 12003.3635286115. The cubic root of 144080736 is about 524.2462180298.

The spelling of 144080736 in words is "one hundred forty-four million, eighty thousand, seven hundred thirty-six".