128144620800 has 648 divisors, whose sum is σ = 529626726720. Its totient is φ = 28952985600.

The previous prime is 128144620781. The next prime is 128144620843. The reversal of 128144620800 is 8026441821.

128144620800 is a `hidden beast` number, since 1 + 2 + 8 + 1 + 446 + 208 + 0 + 0 = 666.

128144620800 is digitally balanced in base 3 and base 7, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 35883015 + ... + 35886585.

Almost surely, 2^128144620800 is an apocalyptic number.

128144620800 is a gapful number since it is divisible by the number (10) 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 128144620800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264813363360).

128144620800 is an abundant number, since it is smaller than the sum of its proper divisors (401482105920).

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

128144620800 is a wasteful number, since it uses less digits than its factorization.

128144620800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3699 (or 3677 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 128144620800 in words is "one hundred twenty-eight billion, one hundred forty-four million, six hundred twenty thousand, eight hundred".