134140800 has 192 divisors, whose sum is σ = 449636400. Its totient is φ = 35143680.

The previous prime is 134140789. The next prime is 134140801. The reversal of 134140800 is 8041431.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134140801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 854322 + ... + 854478.

Almost surely, 2^134140800 is an apocalyptic number.

134140800 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 134140800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224818200).

134140800 is an abundant number, since it is smaller than the sum of its proper divisors (315495600).

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

134140800 is a wasteful number, since it uses less digits than its factorization.

134140800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 134140800 is about 11581.9169397816. The cubic root of 134140800 is about 511.9021622950.

It can be divided in two parts, 134140 and 800, that added together give a triangular number (134940 = T₅₁₉).

The spelling of 134140800 in words is "one hundred thirty-four million, one hundred forty thousand, eight hundred".