540133200 has 180 divisors, whose sum is σ = 1906931520. Its totient is φ = 141538560.

The previous prime is 540133193. The next prime is 540133201. The reversal of 540133200 is 2331045.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540133201) 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 35 ways as a sum of consecutive naturals, for example, 211129 + ... + 213671.

It is an arithmetic number, because the mean of its divisors is an integer number (10594064).

Almost surely, 2^540133200 is an apocalyptic number.

540133200 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 540133200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (953465760).

540133200 is an abundant number, since it is smaller than the sum of its proper divisors (1366798320).

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

540133200 is a wasteful number, since it uses less digits than its factorization.

540133200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2626 (or 2612 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 540133200 is about 23240.7659082053. The cubic root of 540133200 is about 814.3922351085.

Adding to 540133200 its reverse (2331045), we get a palindrome (542464245).

The spelling of 540133200 in words is "five hundred forty million, one hundred thirty-three thousand, two hundred".