540135648 has 192 divisors, whose sum is σ = 1786579200. Its totient is φ = 157386240.

The previous prime is 540135647. The next prime is 540135653. The reversal of 540135648 is 846531045.

It is a happy number.

540135648 is a `hidden beast` number, since 5 + 4 + 0 + 1 + 3 + 5 + 648 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540135641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 212143 + ... + 214673.

It is an arithmetic number, because the mean of its divisors is an integer number (9305100).

Almost surely, 2^540135648 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 540135648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (893289600).

540135648 is an abundant number, since it is smaller than the sum of its proper divisors (1246443552).

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

540135648 is a wasteful number, since it uses less digits than its factorization.

540135648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2582 (or 2568 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 540135648 is about 23240.8185742241. The cubic root of 540135648 is about 814.3934654403.

The spelling of 540135648 in words is "five hundred forty million, one hundred thirty-five thousand, six hundred forty-eight".