134164800 has 504 divisors, whose sum is σ = 599431872. Its totient is φ = 27878400.

The previous prime is 134164781. The next prime is 134164873. The reversal of 134164800 is 8461431.

134164800 is a `hidden beast` number, since 13 + 4 + 1 + 648 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12196795 + ... + 12196805.

Almost surely, 2^134164800 is an apocalyptic number.

134164800 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 134164800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299715936).

134164800 is an abundant number, since it is smaller than the sum of its proper divisors (465267072).

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

134164800 is a wasteful number, since it uses less digits than its factorization.

134164800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 134164800 is about 11582.9529913576. The cubic root of 134164800 is about 511.9326897191.

The spelling of 134164800 in words is "one hundred thirty-four million, one hundred sixty-four thousand, eight hundred".