5040215136 has 144 divisors (see below), whose sum is σ = 15685841808. Its totient is φ = 1522483200.

The previous prime is 5040215123. The next prime is 5040215137. The reversal of 5040215136 is 6315120405.

5040215136 is a `hidden beast` number, since 504 + 0 + 2 + 151 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5040215137) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1065256 + ... + 1069976.

It is an arithmetic number, because the mean of its divisors is an integer number (108929457).

Almost surely, 2^5040215136 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 5040215136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7842920904).

5040215136 is an abundant number, since it is smaller than the sum of its proper divisors (10645626672).

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

5040215136 is a wasteful number, since it uses less digits than its factorization.

5040215136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5085 (or 5074 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 5040215136 is about 70994.4725735743. The cubic root of 5040215136 is about 1714.5481713396.

The spelling of 5040215136 in words is "five billion, forty million, two hundred fifteen thousand, one hundred thirty-six".