128034000 has 160 divisors (see below), whose sum is σ = 458839680. Its totient is φ = 34128000.

The previous prime is 128033977. The next prime is 128034007. The reversal of 128034000 is 430821.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128034007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52815 + ... + 55185.

It is an arithmetic number, because the mean of its divisors is an integer number (2867748).

Almost surely, 2^128034000 is an apocalyptic number.

128034000 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 128034000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229419840).

128034000 is an abundant number, since it is smaller than the sum of its proper divisors (330805680).

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

128034000 is a wasteful number, since it uses less digits than its factorization.

128034000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2403 (or 2381 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 128034000 is about 11315.2110011259. The cubic root of 128034000 is about 504.0130382115.

Adding to 128034000 its reverse (430821), we get a palindrome (128464821).

The spelling of 128034000 in words is "one hundred twenty-eight million, thirty-four thousand".