135109200 has 240 divisors, whose sum is σ = 473273280. Its totient is φ = 32808960.

The previous prime is 135109193. The next prime is 135109201. The reversal of 135109200 is 2901531.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135109201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 754711 + ... + 754889.

It is an arithmetic number, because the mean of its divisors is an integer number (1971972).

Almost surely, 2^135109200 is an apocalyptic number.

135109200 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 135109200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236636640).

135109200 is an abundant number, since it is smaller than the sum of its proper divisors (338164080).

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

135109200 is a wasteful number, since it uses less digits than its factorization.

135109200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 21.

The square root of 135109200 is about 11623.6483085131. The cubic root of 135109200 is about 513.1310647795.

The spelling of 135109200 in words is "one hundred thirty-five million, one hundred nine thousand, two hundred".