3134146605240 has 256 divisors, whose sum is σ = 10846868889600. Its totient is φ = 709650210816.

The previous prime is 3134146605209. The next prime is 3134146605241. The reversal of 3134146605240 is 425066414313.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3134146605241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 55094892 + ... + 55151748.

It is an arithmetic number, because the mean of its divisors is an integer number (42370581600).

Almost surely, 2^{3134146605240} is an apocalyptic number.

3134146605240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3134146605240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5423434444800).

3134146605240 is an abundant number, since it is smaller than the sum of its proper divisors (7712722284360).

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

3134146605240 is a wasteful number, since it uses less digits than its factorization.

3134146605240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57494 (or 57490 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 39.

The spelling of 3134146605240 in words is "three trillion, one hundred thirty-four billion, one hundred forty-six million, six hundred five thousand, two hundred forty".