144865780500 has 576 divisors, whose sum is σ = 522730091520. Its totient is φ = 30976512000.

The previous prime is 144865780457. The next prime is 144865780523. The reversal of 144865780500 is 5087568441.

It is a self number, because there is not a number n which added to its sum of digits gives 144865780500.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 336115285 + ... + 336115715.

It is an arithmetic number, because the mean of its divisors is an integer number (907517520).

Almost surely, 2^144865780500 is an apocalyptic number.

144865780500 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 144865780500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261365045760).

144865780500 is an abundant number, since it is smaller than the sum of its proper divisors (377864311020).

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

144865780500 is a wasteful number, since it uses less digits than its factorization.

144865780500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 48.

The spelling of 144865780500 in words is "one hundred forty-four billion, eight hundred sixty-five million, seven hundred eighty thousand, five hundred".