144015402336 has 144 divisors (see below), whose sum is σ = 427156644096. Its totient is φ = 42385694208.

The previous prime is 144015402287. The next prime is 144015402337. The reversal of 144015402336 is 633204510441.

It is a happy number.

It is a super-2 number, since 2×144015402336² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 144015402297 and 144015402306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144015402337) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 180181 + ... + 566123.

It is an arithmetic number, because the mean of its divisors is an integer number (2966365584).

Almost surely, 2^144015402336 is an apocalyptic number.

144015402336 is a gapful number since it is divisible by the number (16) 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 144015402336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213578322048).

144015402336 is an abundant number, since it is smaller than the sum of its proper divisors (283141241760).

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

144015402336 is a wasteful number, since it uses less digits than its factorization.

144015402336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386005 (or 385984 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

Adding to 144015402336 its reverse (633204510441), we get a palindrome (777219912777).

The spelling of 144015402336 in words is "one hundred forty-four billion, fifteen million, four hundred two thousand, three hundred thirty-six".