4913135136 has 576 divisors, whose sum is σ = 18339955200. Its totient is φ = 1268047872.

The previous prime is 4913135077. The next prime is 4913135141. The reversal of 4913135136 is 6315313194.

It is a happy number.

4913135136 is a `hidden beast` number, since 4 + 9 + 131 + 3 + 513 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4913135136.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43479016 + ... + 43479128.

It is an arithmetic number, because the mean of its divisors is an integer number (31840200).

Almost surely, 2^4913135136 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 4913135136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9169977600).

4913135136 is an abundant number, since it is smaller than the sum of its proper divisors (13426820064).

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

4913135136 is a wasteful number, since it uses less digits than its factorization.

4913135136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 217 counting only the distinct ones).

The product of its digits is 29160, while the sum is 36.

The square root of 4913135136 is about 70093.7596081135. The cubic root of 4913135136 is about 1700.0155864776.

The spelling of 4913135136 in words is "four billion, nine hundred thirteen million, one hundred thirty-five thousand, one hundred thirty-six".