540201510135 has 72 divisors (see below), whose sum is σ = 1089362370096. Its totient is φ = 246917583360.

The previous prime is 540201510109. The next prime is 540201510137. The reversal of 540201510135 is 531015102045.

540201510135 is a `hidden beast` number, since 540 + 2 + 0 + 15 + 101 + 3 + 5 = 666.

It is not a de Polignac number, because 540201510135 - 2²¹ = 540199412983 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 540201510099 and 540201510108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540201510137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 31569252 + ... + 31586358.

It is an arithmetic number, because the mean of its divisors is an integer number (15130032918).

Almost surely, 2^540201510135 is an apocalyptic number.

540201510135 is an abundant number, since it is smaller than the sum of its proper divisors (549160859961).

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

540201510135 is a wasteful number, since it uses less digits than its factorization.

540201510135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31453 (or 31443 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The spelling of 540201510135 in words is "five hundred forty billion, two hundred one million, five hundred ten thousand, one hundred thirty-five".