134386128 has 100 divisors (see below), whose sum is σ = 393329860. Its totient is φ = 44292096.

The previous prime is 134386123. The next prime is 134386141. The reversal of 134386128 is 821683431.

134386128 is a `hidden beast` number, since 1 + 3 + 4 + 38 + 612 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 61591104 + 72795024 = 7848^2 + 8532^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 = 134386092 and 134386101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134386123) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 125178 + ... + 126246.

Almost surely, 2^134386128 is an apocalyptic number.

134386128 is a gapful number since it is divisible by the number (18) 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 134386128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196664930).

134386128 is an abundant number, since it is smaller than the sum of its proper divisors (258943732).

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

134386128 is a wasteful number, since it uses less digits than its factorization.

134386128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1186 (or 1171 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 134386128 is about 11592.5030946729. The cubic root of 134386128 is about 512.2140421801.

The spelling of 134386128 in words is "one hundred thirty-four million, three hundred eighty-six thousand, one hundred twenty-eight".