135336800 has 72 divisors (see below), whose sum is σ = 332697456. Its totient is φ = 53757440.

The previous prime is 135336767. The next prime is 135336809. The reversal of 135336800 is 8633531.

135336800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135336809) 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, 133094 + ... + 134106.

It is an arithmetic number, because the mean of its divisors is an integer number (4620798).

Almost surely, 2^135336800 is an apocalyptic number.

135336800 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 135336800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166348728).

135336800 is an abundant number, since it is smaller than the sum of its proper divisors (197360656).

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

135336800 is a wasteful number, since it uses less digits than its factorization.

135336800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1200 (or 1187 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 29.

The square root of 135336800 is about 11633.4345745356. The cubic root of 135336800 is about 513.4190370576.

The spelling of 135336800 in words is "one hundred thirty-five million, three hundred thirty-six thousand, eight hundred".