54145200 has 60 divisors (see below), whose sum is σ = 173448968. Its totient is φ = 14438400.

The previous prime is 54145199. The next prime is 54145207. The reversal of 54145200 is 254145.

It is a tau number, because it is divible by the number of its divisors (60).

It is not an unprimeable number, because it can be changed into a prime (54145207) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 21361 + ... + 23760.

Almost surely, 2^54145200 is an apocalyptic number.

54145200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

54145200 is an abundant number, since it is smaller than the sum of its proper divisors (119303768).

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

54145200 is a wasteful number, since it uses less digits than its factorization.

54145200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45142 (or 45131 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 54145200 is about 7358.3422046002. The cubic root of 54145200 is about 378.3147905463.

Adding to 54145200 its reverse (254145), we get a palindrome (54399345).

It can be divided in two parts, 54145 and 200, that added together give a palindrome (54345).

The spelling of 54145200 in words is "fifty-four million, one hundred forty-five thousand, two hundred".