540141536 has 48 divisors (see below), whose sum is σ = 1171639728. Its totient is φ = 243072000.

The previous prime is 540141529. The next prime is 540141583. The reversal of 540141536 is 635141045.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 540141499 and 540141508.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27956 + ... + 43148.

It is an arithmetic number, because the mean of its divisors is an integer number (24409161).

Almost surely, 2^540141536 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 540141536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585819864).

540141536 is an abundant number, since it is smaller than the sum of its proper divisors (631498192).

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

540141536 is a wasteful number, since it uses less digits than its factorization.

540141536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15315 (or 15307 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

The square root of 540141536 is about 23240.9452475582. The cubic root of 540141536 is about 814.3964246546.

The spelling of 540141536 in words is "five hundred forty million, one hundred forty-one thousand, five hundred thirty-six".