144542024352 has 288 divisors, whose sum is σ = 456542521344. Its totient is φ = 43013376000.

The previous prime is 144542024339. The next prime is 144542024423. The reversal of 144542024352 is 253420245441.

144542024352 is a `hidden beast` number, since 1 + 44 + 542 + 0 + 24 + 3 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×144542024352² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

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, 40634158 + ... + 40637714.

It is an arithmetic number, because the mean of its divisors is an integer number (1585217088).

Almost surely, 2^144542024352 is an apocalyptic number.

144542024352 is a gapful number since it is divisible by the number (12) 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 144542024352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228271260672).

144542024352 is an abundant number, since it is smaller than the sum of its proper divisors (312000496992).

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

144542024352 is a wasteful number, since it uses less digits than its factorization.

144542024352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3812 (or 3801 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

Adding to 144542024352 its reverse (253420245441), we get a palindrome (397962269793).

Subtracting 144542024352 from its reverse (253420245441), we obtain a square (108878221089 = 329967²).

The spelling of 144542024352 in words is "one hundred forty-four billion, five hundred forty-two million, twenty-four thousand, three hundred fifty-two".