134679168 has 288 divisors, whose sum is σ = 461965140. Its totient is φ = 37306368.

The previous prime is 134679131. The next prime is 134679173. The reversal of 134679168 is 861976431.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 134374464 + 304704 = 11592^2 + 552^2 .

It is a tau number, because it is divible by the number of its divisors (288).

Its product of digits (217728) is a multiple of the sum of its prime factors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5855605 + ... + 5855627.

Almost surely, 2^134679168 is an apocalyptic number.

134679168 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 134679168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230982570).

134679168 is an abundant number, since it is smaller than the sum of its proper divisors (327285972).

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

134679168 is a wasteful number, since it uses less digits than its factorization.

134679168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 58 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 134679168 is about 11605.1354149790. The cubic root of 134679168 is about 512.5860801673.

The spelling of 134679168 in words is "one hundred thirty-four million, six hundred seventy-nine thousand, one hundred sixty-eight".