144606077952 has 704 divisors, whose sum is σ = 490493952000. Its totient is φ = 37716295680.

The previous prime is 144606077939. The next prime is 144606078173. The reversal of 144606077952 is 259770606441.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 144606077895 and 144606077904.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 620626828 + ... + 620627060.

Almost surely, 2^144606077952 is an apocalyptic number.

144606077952 is a gapful number since it is divisible by the number (12) 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 144606077952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245246976000).

144606077952 is an abundant number, since it is smaller than the sum of its proper divisors (345887874048).

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

144606077952 is a wasteful number, since it uses less digits than its factorization.

144606077952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 51.

The spelling of 144606077952 in words is "one hundred forty-four billion, six hundred six million, seventy-seven thousand, nine hundred fifty-two".