144564420 has 384 divisors, whose sum is σ = 568995840. Its totient is φ = 26449920.

The previous prime is 144564373. The next prime is 144564421. The reversal of 144564420 is 24465441.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (144564421) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1741699 + ... + 1741781.

It is an arithmetic number, because the mean of its divisors is an integer number (1481760).

Almost surely, 2^144564420 is an apocalyptic number.

144564420 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 144564420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284497920).

144564420 is an abundant number, since it is smaller than the sum of its proper divisors (424431420).

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

144564420 is a wasteful number, since it uses less digits than its factorization.

144564420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 144564420 is about 12023.4945003522. The cubic root of 144564420 is about 524.8322003421.

The spelling of 144564420 in words is "one hundred forty-four million, five hundred sixty-four thousand, four hundred twenty".