5155200 has 144 divisors (see below), whose sum is σ = 18497700. Its totient is φ = 1367040.

The previous prime is 5155193. The next prime is 5155219. The reversal of 5155200 is 25515.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 28711 + ... + 28889.

Almost surely, 2^5155200 is an apocalyptic number.

5155200 is a gapful number since it is divisible by the number (50) 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 5155200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9248850).

5155200 is an abundant number, since it is smaller than the sum of its proper divisors (13342500).

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

5155200 is a wasteful number, since it uses less digits than its factorization.

5155200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 250, while the sum is 18.

The square root of 5155200 is about 2270.5065514109. The cubic root of 5155200 is about 172.7488531754.

The spelling of 5155200 in words is "five million, one hundred fifty-five thousand, two hundred".