144123609840 has 120 divisors (see below), whose sum is σ = 519727427280. Its totient is φ = 32942536704.

The previous prime is 144123609823. The next prime is 144123609841. The reversal of 144123609840 is 48906321441.

144123609840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×144123609840² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 144123609792 and 144123609801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144123609841) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 6115945 + ... + 6139464.

It is an arithmetic number, because the mean of its divisors is an integer number (4331061894).

Almost surely, 2^144123609840 is an apocalyptic number.

144123609840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144123609840 is an abundant number, since it is smaller than the sum of its proper divisors (375603817440).

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

144123609840 is a wasteful number, since it uses less digits than its factorization.

144123609840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12255439 (or 12255426 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 144123609840 in words is "one hundred forty-four billion, one hundred twenty-three million, six hundred nine thousand, eight hundred forty".