134129664 has 144 divisors (see below), whose sum is σ = 408844800. Its totient is φ = 42246144.

The previous prime is 134129663. The next prime is 134129693. The reversal of 134129664 is 466921431.

It is a tau number, because it is divible by the number of its divisors (144).

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (134129663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 350017 + ... + 350399.

It is an arithmetic number, because the mean of its divisors is an integer number (2839200).

Almost surely, 2^134129664 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 134129664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204422400).

134129664 is an abundant number, since it is smaller than the sum of its proper divisors (274715136).

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

134129664 is a wasteful number, since it uses less digits than its factorization.

134129664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 407 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 134129664 is about 11581.4361803707. The cubic root of 134129664 is about 511.8879963335.

The spelling of 134129664 in words is "one hundred thirty-four million, one hundred twenty-nine thousand, six hundred sixty-four".