128706900 has 144 divisors (see below), whose sum is σ = 429305856. Its totient is φ = 29162880.

The previous prime is 128706899. The next prime is 128706917. The reversal of 128706900 is 9607821.

It is a super-2 number, since 2×128706900² = 33130932215220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 350517 + ... + 350883.

Almost surely, 2^128706900 is an apocalyptic number.

128706900 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 128706900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214652928).

128706900 is an abundant number, since it is smaller than the sum of its proper divisors (300598956).

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

128706900 is a wasteful number, since it uses less digits than its factorization.

128706900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 128706900 is about 11344.9063460215. The cubic root of 128706900 is about 504.8944654155.

The spelling of 128706900 in words is "one hundred twenty-eight million, seven hundred six thousand, nine hundred".