128535600 has 240 divisors, whose sum is σ = 438400512. Its totient is φ = 32148480.

The previous prime is 128535593. The next prime is 128535611. The reversal of 128535600 is 6535821.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 2425174 + ... + 2425226.

Almost surely, 2^128535600 is an apocalyptic number.

128535600 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 128535600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219200256).

128535600 is an abundant number, since it is smaller than the sum of its proper divisors (309864912).

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

128535600 is a wasteful number, since it uses less digits than its factorization.

128535600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 128535600 is about 11337.3541886985. The cubic root of 128535600 is about 504.6703727410.

The spelling of 128535600 in words is "one hundred twenty-eight million, five hundred thirty-five thousand, six hundred".