134629128 has 80 divisors (see below), whose sum is σ = 378775980. Its totient is φ = 44675712.

The previous prime is 134629127. The next prime is 134629129. The reversal of 134629128 is 821926431.

134629128 is a `hidden beast` number, since 1 + 3 + 4 + 629 + 1 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (134629127) and next prime (134629129).

It can be written as a sum of positive squares in 2 ways, for example, as 128187684 + 6441444 = 11322^2 + 2538^2 .

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 = 134629092 and 134629101.

It is not an unprimeable number, because it can be changed into a prime (134629123) 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, 241426 + ... + 241982.

Almost surely, 2^134629128 is an apocalyptic number.

134629128 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 134629128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189387990).

134629128 is an abundant number, since it is smaller than the sum of its proper divisors (244146852).

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

134629128 is a wasteful number, since it uses less digits than its factorization.

134629128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 948 (or 935 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 134629128 is about 11602.9792725834. The cubic root of 134629128 is about 512.5225885741.

The spelling of 134629128 in words is "one hundred thirty-four million, six hundred twenty-nine thousand, one hundred twenty-eight".