54137200 has 120 divisors (see below), whose sum is σ = 145303200. Its totient is φ = 19246080.

The previous prime is 54137189. The next prime is 54137207. The reversal of 54137200 is 273145.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54137207) 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 23 ways as a sum of consecutive naturals, for example, 150621 + ... + 150979.

It is an arithmetic number, because the mean of its divisors is an integer number (1210860).

Almost surely, 2^54137200 is an apocalyptic number.

54137200 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 54137200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72651600).

54137200 is an abundant number, since it is smaller than the sum of its proper divisors (91166000).

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

54137200 is a wasteful number, since it uses less digits than its factorization.

54137200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 54137200 is about 7357.7985838157. The cubic root of 54137200 is about 378.2961575164.

The spelling of 54137200 in words is "fifty-four million, one hundred thirty-seven thousand, two hundred".