155200 has 42 divisors (see below), whose sum is σ = 385826. Its totient is φ = 61440.

The previous prime is 155191. The next prime is 155201. The reversal of 155200 is 2551.

It can be written as a sum of positive squares in 3 ways, for example, as 7744 + 147456 = 88^2 + 384^2 .

It is not an unprimeable number, because it can be changed into a prime (155201) by changing a digit.

155200 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1552 + ... + 1648.

2¹⁵⁵²⁰⁰ is an apocalyptic number.

155200 is a gapful number since it is divisible by the number (10) 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 155200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192913).

155200 is an abundant number, since it is smaller than the sum of its proper divisors (230626).

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

155200 is an equidigital number, since it uses as much as digits as its factorization.

155200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 13.

The square root of 155200 is about 393.9543120718. The cubic root of 155200 is about 53.7399476424.

Adding to 155200 its reverse (2551), we get a palindrome (157751).

The spelling of 155200 in words is "one hundred fifty-five thousand, two hundred".