144563540 has 144 divisors (see below), whose sum is σ = 360364032. Its totient is φ = 48576000.

The previous prime is 144563519. The next prime is 144563561. The reversal of 144563540 is 45365441.

It is an interprime number because it is at equal distance from previous prime (144563519) and next prime (144563561).

It is a junction number, because it is equal to n+sod(n) for n = 144563497 and 144563506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3075797 + ... + 3075843.

It is an arithmetic number, because the mean of its divisors is an integer number (2502528).

Almost surely, 2^144563540 is an apocalyptic number.

144563540 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 144563540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180182016).

144563540 is an abundant number, since it is smaller than the sum of its proper divisors (215800492).

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

144563540 is a wasteful number, since it uses less digits than its factorization.

144563540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

The square root of 144563540 is about 12023.4579052783. The cubic root of 144563540 is about 524.8311354114.

The spelling of 144563540 in words is "one hundred forty-four million, five hundred sixty-three thousand, five hundred forty".