4135300200 has 144 divisors (see below), whose sum is σ = 13918975200. Its totient is φ = 1100265600.

The previous prime is 4135300199. The next prime is 4135300219. The reversal of 4135300200 is 20035314.

4135300200 is a `hidden beast` number, since 413 + 53 + 0 + 0 + 200 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 881461 + ... + 886139.

It is an arithmetic number, because the mean of its divisors is an integer number (96659550).

Almost surely, 2^4135300200 is an apocalyptic number.

4135300200 is a gapful number since it is divisible by the number (40) 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 4135300200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6959487600).

4135300200 is an abundant number, since it is smaller than the sum of its proper divisors (9783675000).

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

4135300200 is a wasteful number, since it uses less digits than its factorization.

4135300200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5192 (or 5180 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 4135300200 is about 64306.2998469046. The cubic root of 4135300200 is about 1605.1009340548.

Adding to 4135300200 its reverse (20035314), we get a palindrome (4155335514).

The spelling of 4135300200 in words is "four billion, one hundred thirty-five million, three hundred thousand, two hundred".