4905035136 has 128 divisors (see below), whose sum is σ = 15238800000. Its totient is φ = 1548937728.

The previous prime is 4905035119. The next prime is 4905035137. The reversal of 4905035136 is 6315305094.

4905035136 is a `hidden beast` number, since 4 + 90 + 50 + 3 + 513 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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 4905035136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4905035137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28315 + ... + 103013.

It is an arithmetic number, because the mean of its divisors is an integer number (119053125).

Almost surely, 2^4905035136 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 4905035136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7619400000).

4905035136 is an abundant number, since it is smaller than the sum of its proper divisors (10333764864).

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

4905035136 is a wasteful number, since it uses less digits than its factorization.

4905035136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74741 (or 74723 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 4905035136 is about 70035.9560226031. The cubic root of 4905035136 is about 1699.0808336743.

The spelling of 4905035136 in words is "four billion, nine hundred five million, thirty-five thousand, one hundred thirty-six".