128526000 has 160 divisors (see below), whose sum is σ = 428353536. Its totient is φ = 33120000.

The previous prime is 128525993. The next prime is 128526017. The reversal of 128526000 is 625821.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 185655 + ... + 186345.

Almost surely, 2^128526000 is an apocalyptic number.

128526000 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 128526000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214176768).

128526000 is an abundant number, since it is smaller than the sum of its proper divisors (299827536).

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

128526000 is a wasteful number, since it uses less digits than its factorization.

128526000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 128526000 is about 11336.9308015882. The cubic root of 128526000 is about 504.6578082421.

The spelling of 128526000 in words is "one hundred twenty-eight million, five hundred twenty-six thousand".