4135200 has 72 divisors (see below), whose sum is σ = 13467888. Its totient is φ = 1102080.

The previous prime is 4135169. The next prime is 4135211. The reversal of 4135200 is 25314.

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 4135200.

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, 1539 + ... + 3261.

It is an arithmetic number, because the mean of its divisors is an integer number (187054).

Almost surely, 2^4135200 is an apocalyptic number.

4135200 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 4135200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6733944).

4135200 is an abundant number, since it is smaller than the sum of its proper divisors (9332688).

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

4135200 is a wasteful number, since it uses less digits than its factorization.

4135200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1746 (or 1733 counting only the distinct ones).

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

The square root of 4135200 is about 2033.5191171956. The cubic root of 4135200 is about 160.5087969868.

The spelling of 4135200 in words is "four million, one hundred thirty-five thousand, two hundred".