55145200 has 120 divisors (see below), whose sum is σ = 147240576. Its totient is φ = 19680000.

The previous prime is 55145183. The next prime is 55145213. The reversal of 55145200 is 254155.

55145200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 365125 + ... + 365275.

Almost surely, 2^55145200 is an apocalyptic number.

55145200 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 55145200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73620288).

55145200 is an abundant number, since it is smaller than the sum of its proper divisors (92095376).

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

55145200 is a wasteful number, since it uses less digits than its factorization.

55145200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 22.

The square root of 55145200 is about 7425.9814166210. The cubic root of 55145200 is about 380.6296118232.

Adding to 55145200 its reverse (254155), we get a palindrome (55399355).

The spelling of 55145200 in words is "fifty-five million, one hundred forty-five thousand, two hundred".