540145984 has 224 divisors, whose sum is σ = 1404518400. Its totient is φ = 200724480.

The previous prime is 540145979. The next prime is 540145987. The reversal of 540145984 is 489541045.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540145987) 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 31 ways as a sum of consecutive naturals, for example, 6069012 + ... + 6069100.

Almost surely, 2^540145984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540145984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702259200).

540145984 is an abundant number, since it is smaller than the sum of its proper divisors (864372416).

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

540145984 is a wasteful number, since it uses less digits than its factorization.

540145984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 40.

The square root of 540145984 is about 23241.0409405431. The cubic root of 540145984 is about 814.3986601337.

The spelling of 540145984 in words is "five hundred forty million, one hundred forty-five thousand, nine hundred eighty-four".