540410132136 has 128 divisors (see below), whose sum is σ = 1578757939200. Its totient is φ = 150967964160.

The previous prime is 540410132069. The next prime is 540410132149. The reversal of 540410132136 is 631231014045.

It is a super-2 number, since 2×540410132136² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1169356 + ... + 1564676.

It is an arithmetic number, because the mean of its divisors is an integer number (12334046400).

Almost surely, 2^540410132136 is an apocalyptic number.

540410132136 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540410132136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (789378969600).

540410132136 is an abundant number, since it is smaller than the sum of its proper divisors (1038347807064).

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

540410132136 is a wasteful number, since it uses less digits than its factorization.

540410132136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395519 (or 395515 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 540410132136 in words is "five hundred forty billion, four hundred ten million, one hundred thirty-two thousand, one hundred thirty-six".