128456100 has 108 divisors (see below), whose sum is σ = 410387796. Its totient is φ = 33596160.

The previous prime is 128456089. The next prime is 128456101. The reversal of 128456100 is 1654821.

128456100 is a `hidden beast` number, since 1 + 2 + 8 + 45 + 610 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 675684 + 127780416 = 822^2 + 11304^2 .

It is not an unprimeable number, because it can be changed into a prime (128456101) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 46354 + ... + 49046.

It is an arithmetic number, because the mean of its divisors is an integer number (3799887).

Almost surely, 2^128456100 is an apocalyptic number.

128456100 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 128456100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205193898).

128456100 is an abundant number, since it is smaller than the sum of its proper divisors (281931696).

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

128456100 is a wasteful number, since it uses less digits than its factorization.

128456100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2766 (or 2756 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 128456100 is about 11333.8475373546. The cubic root of 128456100 is about 504.5663041166.

The spelling of 128456100 in words is "one hundred twenty-eight million, four hundred fifty-six thousand, one hundred".