144520233325240 has 256 divisors, whose sum is σ = 345740611507200. Its totient is φ = 54271496294400.

The previous prime is 144520233325201. The next prime is 144520233325301. The reversal of 144520233325240 is 42523332025441.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 144520233325193 and 144520233325202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21033359005 + ... + 21033365875.

It is an arithmetic number, because the mean of its divisors is an integer number (1350549263700).

Almost surely, 2^{144520233325240} is an apocalyptic number.

144520233325240 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 144520233325240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172870305753600).

144520233325240 is an abundant number, since it is smaller than the sum of its proper divisors (201220378181960).

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

144520233325240 is a wasteful number, since it uses less digits than its factorization.

144520233325240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8366 (or 8362 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 40.

The spelling of 144520233325240 in words is "one hundred forty-four trillion, five hundred twenty billion, two hundred thirty-three million, three hundred twenty-five thousand, two hundred forty".