134418800 has 60 divisors (see below), whose sum is σ = 326009640. Its totient is φ = 53256960.

The previous prime is 134418773. The next prime is 134418803. The reversal of 134418800 is 8814431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134418803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42059 + ... + 45141.

It is an arithmetic number, because the mean of its divisors is an integer number (5433494).

Almost surely, 2^134418800 is an apocalyptic number.

134418800 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 134418800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163004820).

134418800 is an abundant number, since it is smaller than the sum of its proper divisors (191590840).

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

134418800 is a wasteful number, since it uses less digits than its factorization.

134418800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3210 (or 3199 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 134418800 is about 11593.9121956309. The cubic root of 134418800 is about 512.2555486992.

The spelling of 134418800 in words is "one hundred thirty-four million, four hundred eighteen thousand, eight hundred".