540138560 has 56 divisors (see below), whose sum is σ = 1385154456. Its totient is φ = 199434240.

The previous prime is 540138553. The next prime is 540138581. The reversal of 540138560 is 65831045.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 27206656 + 512931904 = 5216^2 + 22648^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60761 + ... + 69080.

It is an arithmetic number, because the mean of its divisors is an integer number (24734901).

Almost surely, 2^540138560 is an apocalyptic number.

It is an amenable number.

540138560 is an abundant number, since it is smaller than the sum of its proper divisors (845015896).

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

540138560 is a wasteful number, since it uses less digits than its factorization.

540138560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129871 (or 129861 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The square root of 540138560 is about 23240.8812225354. The cubic root of 540138560 is about 814.3949289675.

The spelling of 540138560 in words is "five hundred forty million, one hundred thirty-eight thousand, five hundred sixty".