134038800 has 360 divisors, whose sum is σ = 554089536. Its totient is φ = 30481920.

The previous prime is 134038763. The next prime is 134038811. The reversal of 134038800 is 8830431.

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 (27).

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, 680302 + ... + 680498.

Almost surely, 2^134038800 is an apocalyptic number.

134038800 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 134038800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277044768).

134038800 is an abundant number, since it is smaller than the sum of its proper divisors (420050736).

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

134038800 is a wasteful number, since it uses less digits than its factorization.

134038800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 214 counting only the distinct ones).

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

The square root of 134038800 is about 11577.5126862379. The cubic root of 134038800 is about 511.7723801045.

The spelling of 134038800 in words is "one hundred thirty-four million, thirty-eight thousand, eight hundred".