134966304 has 144 divisors (see below), whose sum is σ = 433026720. Its totient is φ = 40867200.

The previous prime is 134966303. The next prime is 134966317. The reversal of 134966304 is 403669431.

134966304 is a `hidden beast` number, since 1 + 349 + 6 + 6 + 304 = 666.

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

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (134966303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103899 + ... + 105189.

It is an arithmetic number, because the mean of its divisors is an integer number (3007130).

Almost surely, 2^134966304 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 134966304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216513360).

134966304 is an abundant number, since it is smaller than the sum of its proper divisors (298060416).

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

134966304 is a wasteful number, since it uses less digits than its factorization.

134966304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1332 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 134966304 is about 11617.4999031633. The cubic root of 134966304 is about 512.9500994518.

The spelling of 134966304 in words is "one hundred thirty-four million, nine hundred sixty-six thousand, three hundred four".