144630772128 has 240 divisors, whose sum is σ = 438909166080. Its totient is φ = 46691251200.

The previous prime is 144630772073. The next prime is 144630772199. The reversal of 144630772128 is 821277036441.

144630772128 is a `hidden beast` number, since 1 + 4 + 4 + 630 + 7 + 7 + 2 + 1 + 2 + 8 = 666.

144630772128 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14766913 + ... + 14776703.

It is an arithmetic number, because the mean of its divisors is an integer number (1828788192).

Almost surely, 2^144630772128 is an apocalyptic number.

144630772128 is a gapful number since it is divisible by the number (18) 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 144630772128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219454583040).

144630772128 is an abundant number, since it is smaller than the sum of its proper divisors (294278393952).

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

144630772128 is a wasteful number, since it uses less digits than its factorization.

144630772128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9993 (or 9976 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 144630772128 in words is "one hundred forty-four billion, six hundred thirty million, seven hundred seventy-two thousand, one hundred twenty-eight".