540138840 has 128 divisors (see below), whose sum is σ = 1714521600. Its totient is φ = 135751680.

The previous prime is 540138827. The next prime is 540138853. The reversal of 540138840 is 48831045.

It is an interprime number because it is at equal distance from previous prime (540138827) and next prime (540138853).

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 31 ways as a sum of consecutive naturals, for example, 548989 + ... + 549971.

It is an arithmetic number, because the mean of its divisors is an integer number (13394700).

Almost surely, 2^540138840 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 540138840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (857260800).

540138840 is an abundant number, since it is smaller than the sum of its proper divisors (1174382760).

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

540138840 is a wasteful number, since it uses less digits than its factorization.

540138840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1257 (or 1253 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 540138840 is about 23240.8872464026. The cubic root of 540138840 is about 814.3950696909.

Adding to 540138840 its reverse (48831045), we get a palindrome (588969885).

The spelling of 540138840 in words is "five hundred forty million, one hundred thirty-eight thousand, eight hundred forty".