540102729 has 16 divisors (see below), whose sum is σ = 724586240. Its totient is φ = 357851520.

The previous prime is 540102659. The next prime is 540102737. The reversal of 540102729 is 927201045.

It is not a de Polignac number, because 540102729 - 2¹⁷ = 539971657 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 540102696 and 540102705.

It is not an unprimeable number, because it can be changed into a prime (540102749) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 575949 + ... + 576885.

It is an arithmetic number, because the mean of its divisors is an integer number (45286640).

Almost surely, 2^540102729 is an apocalyptic number.

It is an amenable number.

540102729 is a deficient number, since it is larger than the sum of its proper divisors (184483511).

540102729 is a wasteful number, since it uses less digits than its factorization.

540102729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1920.

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 540102729 is about 23240.1103482750. The cubic root of 540102729 is about 814.3769204834.

The spelling of 540102729 in words is "five hundred forty million, one hundred two thousand, seven hundred twenty-nine".