144082872544 has 144 divisors (see below), whose sum is σ = 315140142240. Its totient is φ = 64793364480.

The previous prime is 144082872541. The next prime is 144082872553. The reversal of 144082872544 is 445278280441.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144082872541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35955789 + ... + 35959795.

It is an arithmetic number, because the mean of its divisors is an integer number (2188473210).

Almost surely, 2^144082872544 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 144082872544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157570071120).

144082872544 is an abundant number, since it is smaller than the sum of its proper divisors (171057269696).

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

144082872544 is a wasteful number, since it uses less digits than its factorization.

144082872544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4213 (or 4192 counting only the distinct ones).

The product of its (nonzero) digits is 2293760, while the sum is 49.

The spelling of 144082872544 in words is "one hundred forty-four billion, eighty-two million, eight hundred seventy-two thousand, five hundred forty-four".