144322142115000 has 160 divisors (see below), whose sum is σ = 451840403100240. Its totient is φ = 38402419200000.

The previous prime is 144322142114993. The next prime is 144322142115023. The reversal of 144322142115000 is 511241223441.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3520441 + ... + 17350440.

Almost surely, 2^{144322142115000} is an apocalyptic number.

144322142115000 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 144322142115000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225920201550120).

144322142115000 is an abundant number, since it is smaller than the sum of its proper divisors (307518260985240).

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

144322142115000 is a wasteful number, since it uses less digits than its factorization.

144322142115000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20871371 (or 20871352 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 144322142115000 its reverse (511241223441), we get a palindrome (144833383338441).

The spelling of 144322142115000 in words is "one hundred forty-four trillion, three hundred twenty-two billion, one hundred forty-two million, one hundred fifteen thousand".