3138135456 has 288 divisors, whose sum is σ = 9438363648. Its totient is φ = 910103040.

The previous prime is 3138135419. The next prime is 3138135467. The reversal of 3138135456 is 6545318313.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 24709665 + ... + 24709791.

It is an arithmetic number, because the mean of its divisors is an integer number (32772096).

Almost surely, 2^3138135456 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 3138135456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4719181824).

3138135456 is an abundant number, since it is smaller than the sum of its proper divisors (6300228192).

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

3138135456 is a wasteful number, since it uses less digits than its factorization.

3138135456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 205 counting only the distinct ones).

The product of its digits is 129600, while the sum is 39.

The square root of 3138135456 is about 56019.0633266926. The cubic root of 3138135456 is about 1464.0544486901.

The spelling of 3138135456 in words is "three billion, one hundred thirty-eight million, one hundred thirty-five thousand, four hundred fifty-six".