144141572736 has 256 divisors, whose sum is σ = 494437248000. Its totient is φ = 40484883456.

The previous prime is 144141572699. The next prime is 144141572749. The reversal of 144141572736 is 637275141441.

144141572736 is a `hidden beast` number, since 1 + 4 + 4 + 1 + 4 + 1 + 572 + 73 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 144141572691 and 144141572700.

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, 1376835 + ... + 1477821.

It is an arithmetic number, because the mean of its divisors is an integer number (1931395500).

Almost surely, 2^144141572736 is an apocalyptic number.

144141572736 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 144141572736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247218624000).

144141572736 is an abundant number, since it is smaller than the sum of its proper divisors (350295675264).

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

144141572736 is a wasteful number, since it uses less digits than its factorization.

144141572736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101076 (or 101058 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

It can be divided in two parts, 1441415 and 72736, that added together give a palindrome (1514151).

The spelling of 144141572736 in words is "one hundred forty-four billion, one hundred forty-one million, five hundred seventy-two thousand, seven hundred thirty-six".