135220200 has 96 divisors (see below), whose sum is σ = 430582560. Its totient is φ = 35078400.

The previous prime is 135220199. The next prime is 135220201. The reversal of 135220200 is 2022531.

It is an interprime number because it is at equal distance from previous prime (135220199) and next prime (135220201).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 135220200.

It is not an unprimeable number, because it can be changed into a prime (135220201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19155 + ... + 25245.

It is an arithmetic number, because the mean of its divisors is an integer number (4485235).

Almost surely, 2^135220200 is an apocalyptic number.

135220200 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 135220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215291280).

135220200 is an abundant number, since it is smaller than the sum of its proper divisors (295362360).

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

135220200 is a wasteful number, since it uses less digits than its factorization.

135220200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6147 (or 6138 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 135220200 is about 11628.4220769630. The cubic root of 135220200 is about 513.2715485692.

Adding to 135220200 its reverse (2022531), we get a palindrome (137242731).

The spelling of 135220200 in words is "one hundred thirty-five million, two hundred twenty thousand, two hundred".