54131200 has 60 divisors (see below), whose sum is σ = 134145990. Its totient is φ = 21647360.

The previous prime is 54131191. The next prime is 54131201. The reversal of 54131200 is 213145.

It can be written as a sum of positive squares in 3 ways, for example, as 52533504 + 1597696 = 7248^2 + 1264^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (54131201) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10686 + ... + 14914.

Almost surely, 2^54131200 is an apocalyptic number.

54131200 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 54131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67072995).

54131200 is an abundant number, since it is smaller than the sum of its proper divisors (80014790).

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

54131200 is an equidigital number, since it uses as much as digits as its factorization.

54131200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4257 (or 4236 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 54131200 is about 7357.3908418678. The cubic root of 54131200 is about 378.2821815393.

Adding to 54131200 its reverse (213145), we get a palindrome (54344345).

The spelling of 54131200 in words is "fifty-four million, one hundred thirty-one thousand, two hundred".