128257000 has 32 divisors (see below), whose sum is σ = 300123720. Its totient is φ = 51302400.

The previous prime is 128256967. The next prime is 128257001. The reversal of 128257000 is 752821.

It can be written as a sum of positive squares in 4 ways, for example, as 73170916 + 55086084 = 8554^2 + 7422^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (128257001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63129 + ... + 65128.

Almost surely, 2^128257000 is an apocalyptic number.

128257000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

128257000 is an abundant number, since it is smaller than the sum of its proper divisors (171866720).

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

128257000 is a wasteful number, since it uses less digits than its factorization.

128257000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128278 (or 128264 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 25.

The square root of 128257000 is about 11325.0607062391. The cubic root of 128257000 is about 504.3054858345.

The spelling of 128257000 in words is "one hundred twenty-eight million, two hundred fifty-seven thousand".