128042334 has 144 divisors (see below), whose sum is σ = 354043872. Its totient is φ = 32643072.

The previous prime is 128042333. The next prime is 128042377. The reversal of 128042334 is 433240821.

It is a super-3 number, since 3×128042334³ (a number of 25 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 128042298 and 128042307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128042333) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1133062 + ... + 1133174.

It is an arithmetic number, because the mean of its divisors is an integer number (2458638).

Almost surely, 2^128042334 is an apocalyptic number.

128042334 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 128042334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177021936).

128042334 is an abundant number, since it is smaller than the sum of its proper divisors (226001538).

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

128042334 is a wasteful number, since it uses less digits than its factorization.

128042334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 128042334 is about 11315.5792604709. The cubic root of 128042334 is about 504.0239737274.

The spelling of 128042334 in words is "one hundred twenty-eight million, forty-two thousand, three hundred thirty-four".