2135200 has 72 divisors (see below), whose sum is σ = 5554332. Its totient is φ = 798720.

The previous prime is 2135197. The next prime is 2135207. The reversal of 2135200 is 25312.

It can be written as a sum of positive squares in 6 ways, for example, as 853776 + 1281424 = 924^2 + 1132^2 .

It is not an unprimeable number, because it can be changed into a prime (2135207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13522 + ... + 13678.

2^2135200 is an apocalyptic number.

2135200 is a gapful number since it is divisible by the number (20) 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 2135200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2777166).

2135200 is an abundant number, since it is smaller than the sum of its proper divisors (3419132).

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

2135200 is a wasteful number, since it uses less digits than its factorization.

2135200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 2135200 is about 1461.2323566086. The cubic root of 2135200 is about 128.7694538110.

It can be divided in two parts, 2 and 135200, that multiplied together give a square (270400 = 520²).

The spelling of 2135200 in words is "two million, one hundred thirty-five thousand, two hundred".