4135350005136 has 405 divisors, whose sum is σ = 13807637677899. Its totient is φ = 1152001339776.

The previous prime is 4135350005011. The next prime is 4135350005159. The reversal of 4135350005136 is 6315000535314.

The square root of 4135350005136 is 2033556.

It is a perfect power (a square), and thus also a powerful number.

4135350005136 is a `hidden beast` number, since 4 + 13 + 5 + 3 + 500 + 0 + 5 + 136 = 666.

It is a super-2 number, since 2×4135350005136² (a number of 26 digits) contains 22 as substring.

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 4135350005136.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 7345203991 + ... + 7345204553.

Almost surely, 2^{4135350005136} is an apocalyptic number.

4135350005136 is the 2033556-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4135350005136

4135350005136 is an abundant number, since it is smaller than the sum of its proper divisors (9672287672763).

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

4135350005136 is an equidigital number, since it uses as much as digits as its factorization.

4135350005136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1240 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 36.

Multiplying 4135350005136 by its sum of digits (36), we get a square (148872600184896 = 12201336²).

4135350005136 divided by its sum of digits (36) gives a square (114870833476 = 338926²).

The spelling of 4135350005136 in words is "four trillion, one hundred thirty-five billion, three hundred fifty million, five thousand, one hundred thirty-six".