144394920 has 128 divisors (see below), whose sum is σ = 502329600. Its totient is φ = 36824832.

The previous prime is 144394919. The next prime is 144394933. The reversal of 144394920 is 29493441.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21934 + ... + 27746.

It is an arithmetic number, because the mean of its divisors is an integer number (3924450).

Almost surely, 2^144394920 is an apocalyptic number.

144394920 is a gapful number since it is divisible by the number (10) 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 144394920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251164800).

144394920 is an abundant number, since it is smaller than the sum of its proper divisors (357934680).

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

144394920 is a wasteful number, since it uses less digits than its factorization.

144394920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5856 (or 5846 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 144394920 is about 12016.4437334845. The cubic root of 144394920 is about 524.6270003618.

It can be divided in two parts, 14 and 4394920, that added together give a palindrome (4394934).

The spelling of 144394920 in words is "one hundred forty-four million, three hundred ninety-four thousand, nine hundred twenty".