144288540 has 144 divisors (see below), whose sum is σ = 495331200. Its totient is φ = 34966080.

The previous prime is 144288517. The next prime is 144288541. The reversal of 144288540 is 45882441.

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

It is a junction number, because it is equal to n+sod(n) for n = 144288495 and 144288504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144288541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52111 + ... + 54809.

It is an arithmetic number, because the mean of its divisors is an integer number (3439800).

Almost surely, 2^144288540 is an apocalyptic number.

144288540 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 144288540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247665600).

144288540 is an abundant number, since it is smaller than the sum of its proper divisors (351042660).

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

144288540 is a wasteful number, since it uses less digits than its factorization.

144288540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2734 (or 2720 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The square root of 144288540 is about 12012.0164835052. The cubic root of 144288540 is about 524.4981326438.

The spelling of 144288540 in words is "one hundred forty-four million, two hundred eighty-eight thousand, five hundred forty".