144589672296128 has 224 divisors, whose sum is σ = 314036620185600. Its totient is φ = 65841695023104.

The previous prime is 144589672296109. The next prime is 144589672296131. The reversal of 144589672296128 is 821692276985441.

It is a Smith number, since the sum of its digits (74) coincides with the sum of the digits of its prime factors.

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 31 ways as a sum of consecutive naturals, for example, 1050781700 + ... + 1050919292.

Almost surely, 2^{144589672296128} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144589672296128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157018310092800).

144589672296128 is an abundant number, since it is smaller than the sum of its proper divisors (169446947889472).

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

144589672296128 is a wasteful number, since it uses less digits than its factorization.

144589672296128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137999 (or 137989 counting only the distinct ones).

The product of its digits is 836075520, while the sum is 74.

The spelling of 144589672296128 in words is "one hundred forty-four trillion, five hundred eighty-nine billion, six hundred seventy-two million, two hundred ninety-six thousand, one hundred twenty-eight".