135345200 has 60 divisors (see below), whose sum is σ = 326286408. Its totient is φ = 53952000.

The previous prime is 135345187. The next prime is 135345277. The reversal of 135345200 is 2543531.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 224900 + ... + 225500.

Almost surely, 2^135345200 is an apocalyptic number.

135345200 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 135345200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163143204).

135345200 is an abundant number, since it is smaller than the sum of its proper divisors (190941208).

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

135345200 is a wasteful number, since it uses less digits than its factorization.

135345200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1182 (or 1171 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 23.

The square root of 135345200 is about 11633.7955973104. The cubic root of 135345200 is about 513.4296590286.

Adding to 135345200 its reverse (2543531), we get a palindrome (137888731).

The spelling of 135345200 in words is "one hundred thirty-five million, three hundred forty-five thousand, two hundred".