134434800 has 180 divisors, whose sum is σ = 472235400. Its totient is φ = 35412480.

The previous prime is 134434799. The next prime is 134434831. The reversal of 134434800 is 8434431.

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 385026 + ... + 385374.

It is an arithmetic number, because the mean of its divisors is an integer number (2623530).

Almost surely, 2^134434800 is an apocalyptic number.

134434800 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 134434800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236117700).

134434800 is an abundant number, since it is smaller than the sum of its proper divisors (337800600).

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

134434800 is a wasteful number, since it uses less digits than its factorization.

134434800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 134434800 is about 11594.6021923997. The cubic root of 134434800 is about 512.2758726509.

The spelling of 134434800 in words is "one hundred thirty-four million, four hundred thirty-four thousand, eight hundred".