128186381520 has 400 divisors, whose sum is σ = 456955342272. Its totient is φ = 33286256640.

The previous prime is 128186381509. The next prime is 128186381527. The reversal of 128186381520 is 25183681821.

128186381520 is a `hidden beast` number, since 1 + 2 + 8 + 1 + 8 + 638 + 1 + 5 + 2 + 0 = 666.

128186381520 is digitally balanced in base 3, because in such base 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 (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128186381527) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 145170999 + ... + 145171881.

Almost surely, 2^128186381520 is an apocalyptic number.

128186381520 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 128186381520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228477671136).

128186381520 is an abundant number, since it is smaller than the sum of its proper divisors (328768960752).

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

128186381520 is a wasteful number, since it uses less digits than its factorization.

128186381520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1472 (or 1457 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 128186381520 in words is "one hundred twenty-eight billion, one hundred eighty-six million, three hundred eighty-one thousand, five hundred twenty".