135005200 has 120 divisors (see below), whose sum is σ = 360351936. Its totient is φ = 48192000.

The previous prime is 135005183. The next prime is 135005219. The reversal of 135005200 is 2500531.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 268149 + ... + 268651.

Almost surely, 2^135005200 is an apocalyptic number.

135005200 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 135005200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180175968).

135005200 is an abundant number, since it is smaller than the sum of its proper divisors (225346736).

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

135005200 is a wasteful number, since it uses less digits than its factorization.

135005200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 16.

The square root of 135005200 is about 11619.1738088386. The cubic root of 135005200 is about 512.9993704925. Note that the first 3 decimals are identical.

Adding to 135005200 its reverse (2500531), we get a palindrome (137505731).

The spelling of 135005200 in words is "one hundred thirty-five million, five thousand, two hundred".