540180000 has 180 divisors, whose sum is σ = 1920196278. Its totient is φ = 144000000.

The previous prime is 540179989. The next prime is 540180007. The reversal of 540180000 is 81045.

It can be written as a sum of positive squares in 5 ways, for example, as 8785296 + 531394704 = 2964^2 + 23052^2 .

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 not an unprimeable number, because it can be changed into a prime (540180007) 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 29 ways as a sum of consecutive naturals, for example, 178500 + ... + 181500.

Almost surely, 2^540180000 is an apocalyptic number.

540180000 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 540180000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (960098139).

540180000 is an abundant number, since it is smaller than the sum of its proper divisors (1380016278).

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

540180000 is a wasteful number, since it uses less digits than its factorization.

540180000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3037 (or 3011 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 540180000 is about 23241.7727378959. The cubic root of 540180000 is about 814.4157555142.

The spelling of 540180000 in words is "five hundred forty million, one hundred eighty thousand".