144793964 has 48 divisors (see below), whose sum is σ = 307883520. Its totient is φ = 58164480.

The previous prime is 144793949. The next prime is 144793991. The reversal of 144793964 is 469397441.

144793964 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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 157097 + ... + 158015.

It is an arithmetic number, because the mean of its divisors is an integer number (6414240).

Almost surely, 2^144793964 is an apocalyptic number.

144793964 is a gapful number since it is divisible by the number (14) 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 144793964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153941760).

144793964 is an abundant number, since it is smaller than the sum of its proper divisors (163089556).

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

144793964 is a wasteful number, since it uses less digits than its factorization.

144793964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1278 (or 1276 counting only the distinct ones).

The product of its digits is 653184, while the sum is 47.

The square root of 144793964 is about 12033.0363582929. The cubic root of 144793964 is about 525.1098352208.

The spelling of 144793964 in words is "one hundred forty-four million, seven hundred ninety-three thousand, nine hundred sixty-four".