134164128 has 96 divisors (see below), whose sum is σ = 411941376. Its totient is φ = 37433088.

The previous prime is 134164127. The next prime is 134164141. The reversal of 134164128 is 821461431.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 134164095 and 134164104.

It is not an unprimeable number, because it can be changed into a prime (134164123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26575 + ... + 31217.

It is an arithmetic number, because the mean of its divisors is an integer number (4291056).

Almost surely, 2^134164128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134164128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205970688).

134164128 is an abundant number, since it is smaller than the sum of its proper divisors (277777248).

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

134164128 is a wasteful number, since it uses less digits than its factorization.

134164128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4706 (or 4698 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 134164128 is about 11582.9239831745. The cubic root of 134164128 is about 511.9318350008.

The spelling of 134164128 in words is "one hundred thirty-four million, one hundred sixty-four thousand, one hundred twenty-eight".