135384800 has 72 divisors (see below), whose sum is σ = 332400600. Its totient is φ = 53844480.

The previous prime is 135384797. The next prime is 135384833. The reversal of 135384800 is 8483531.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 182831 + ... + 183569.

It is an arithmetic number, because the mean of its divisors is an integer number (4616675).

Almost surely, 2^135384800 is an apocalyptic number.

135384800 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 135384800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166200300).

135384800 is an abundant number, since it is smaller than the sum of its proper divisors (197015800).

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

135384800 is a wasteful number, since it uses less digits than its factorization.

135384800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 988 (or 975 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 135384800 is about 11635.4974109404. The cubic root of 135384800 is about 513.4797281159.

The spelling of 135384800 in words is "one hundred thirty-five million, three hundred eighty-four thousand, eight hundred".