134668800 has 360 divisors, whose sum is σ = 554089536. Its totient is φ = 30597120.

The previous prime is 134668799. The next prime is 134668801. The reversal of 134668800 is 8866431.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (134668799) and next prime (134668801).

It is a tau number, because it is divible by the number of its divisors (360).

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 (134668801) by changing a digit.

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, 806317 + ... + 806483.

Almost surely, 2^134668800 is an apocalyptic number.

134668800 is a gapful number since it is divisible by the number (10) 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 134668800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277044768).

134668800 is an abundant number, since it is smaller than the sum of its proper divisors (419420736).

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

134668800 is a wasteful number, since it uses less digits than its factorization.

134668800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 184 counting only the distinct ones).

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

The square root of 134668800 is about 11604.6887075871. The cubic root of 134668800 is about 512.5729263664.

The spelling of 134668800 in words is "one hundred thirty-four million, six hundred sixty-eight thousand, eight hundred".