135250200 has 144 divisors (see below), whose sum is σ = 470059200. Its totient is φ = 34809600.

The previous prime is 135250187. The next prime is 135250201. The reversal of 135250200 is 2052531.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135250201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 50905 + ... + 53495.

It is an arithmetic number, because the mean of its divisors is an integer number (3264300).

Almost surely, 2^135250200 is an apocalyptic number.

135250200 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 135250200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235029600).

135250200 is an abundant number, since it is smaller than the sum of its proper divisors (334809000).

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

135250200 is a wasteful number, since it uses less digits than its factorization.

135250200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2642 (or 2630 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 135250200 is about 11629.7119482814. The cubic root of 135250200 is about 513.3095039631.

The spelling of 135250200 in words is "one hundred thirty-five million, two hundred fifty thousand, two hundred".