540513135162 has 256 divisors, whose sum is σ = 1682841968640. Its totient is φ = 123958771200.

The previous prime is 540513135119. The next prime is 540513135199. The reversal of 540513135162 is 261531315045.

540513135162 is a `hidden beast` number, since 5 + 4 + 0 + 5 + 131 + 3 + 516 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1025862 + ... + 1460622.

It is an arithmetic number, because the mean of its divisors is an integer number (6573601440).

Almost surely, 2^540513135162 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540513135162, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (841420984320).

540513135162 is an abundant number, since it is smaller than the sum of its proper divisors (1142328833478).

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

540513135162 is a wasteful number, since it uses less digits than its factorization.

540513135162 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434826 (or 434820 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 540513135162 in words is "five hundred forty billion, five hundred thirteen million, one hundred thirty-five thousand, one hundred sixty-two".