6145200 has 120 divisors (see below), whose sum is σ = 21910800. Its totient is φ = 1635840.

The previous prime is 6145199. The next prime is 6145229. The reversal of 6145200 is 25416.

It is a happy number.

6145200 is a `hidden beast` number, since 614 + 52 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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 (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10516 + ... + 11084.

It is an arithmetic number, because the mean of its divisors is an integer number (182590).

Almost surely, 2^6145200 is an apocalyptic number.

6145200 is a gapful number since it is divisible by the number (60) 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 6145200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10955400).

6145200 is an abundant number, since it is smaller than the sum of its proper divisors (15765600).

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

6145200 is a wasteful number, since it uses less digits than its factorization.

6145200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 6145200 is about 2478.9513912136. The cubic root of 6145200 is about 183.1662021390.

The spelling of 6145200 in words is "six million, one hundred forty-five thousand, two hundred".