135144200 has 48 divisors (see below), whose sum is σ = 321893460. Its totient is φ = 52736000.

The previous prime is 135144157. The next prime is 135144253. The reversal of 135144200 is 2441531.

It can be written as a sum of positive squares in 6 ways, for example, as 12687844 + 122456356 = 3562^2 + 11066^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 41 + ... + 16440.

Almost surely, 2^135144200 is an apocalyptic number.

135144200 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 135144200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160946730).

135144200 is an abundant number, since it is smaller than the sum of its proper divisors (186749260).

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

135144200 is a wasteful number, since it uses less digits than its factorization.

135144200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16538 (or 16529 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 135144200 is about 11625.1537624240. The cubic root of 135144200 is about 513.1753697730.

Adding to 135144200 its reverse (2441531), we get a palindrome (137585731).

The spelling of 135144200 in words is "one hundred thirty-five million, one hundred forty-four thousand, two hundred".