128945700 has 216 divisors, whose sum is σ = 443596608. Its totient is φ = 31138560.

The previous prime is 128945699. The next prime is 128945711. The reversal of 128945700 is 7549821.

128945700 is a `hidden beast` number, since 1 + 2 + 89 + 4 + 570 + 0 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1205047 + ... + 1205153.

It is an arithmetic number, because the mean of its divisors is an integer number (2053688).

Almost surely, 2^128945700 is an apocalyptic number.

128945700 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 128945700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221798304).

128945700 is an abundant number, since it is smaller than the sum of its proper divisors (314650908).

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

128945700 is a wasteful number, since it uses less digits than its factorization.

128945700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 128945700 is about 11355.4260157865. The cubic root of 128945700 is about 505.2065292551.

The spelling of 128945700 in words is "one hundred twenty-eight million, nine hundred forty-five thousand, seven hundred".