144513235302240 has 192 divisors, whose sum is σ = 520524839568384. Its totient is φ = 33013997119488.

The previous prime is 144513235302239. The next prime is 144513235302251. The reversal of 144513235302240 is 42203532315441.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5150364 + ... + 17763803.

It is an arithmetic number, because the mean of its divisors is an integer number (2711066872752).

Almost surely, 2^{144513235302240} is an apocalyptic number.

144513235302240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144513235302240 is an abundant number, since it is smaller than the sum of its proper divisors (376011604266144).

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

144513235302240 is a wasteful number, since it uses less digits than its factorization.

144513235302240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22916069 (or 22916061 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 39.

Adding to 144513235302240 its reverse (42203532315441), we get a palindrome (186716767617681).

The spelling of 144513235302240 in words is "one hundred forty-four trillion, five hundred thirteen billion, two hundred thirty-five million, three hundred two thousand, two hundred forty".