128581883136 has 864 divisors, whose sum is σ = 462396950400. Its totient is φ = 35554111488.

The previous prime is 128581883119. The next prime is 128581883149. The reversal of 128581883136 is 631388185821.

128581883136 is a `hidden beast` number, since 1 + 28 + 581 + 8 + 8 + 3 + 1 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×128581883136² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1179650250 + ... + 1179650358.

Almost surely, 2^128581883136 is an apocalyptic number.

128581883136 is a gapful number since it is divisible by the number (16) 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 128581883136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231198475200).

128581883136 is an abundant number, since it is smaller than the sum of its proper divisors (333815067264).

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

128581883136 is an frugal number, since it uses more digits than its factorization.

128581883136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 164 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 54.

The spelling of 128581883136 in words is "one hundred twenty-eight billion, five hundred eighty-one million, eight hundred eighty-three thousand, one hundred thirty-six".