3134130352000 has 128 divisors (see below), whose sum is σ = 7795242655200. Its totient is φ = 1253167718400.

The previous prime is 3134130351967. The next prime is 3134130352009. The reversal of 3134130352000 is 2530314313.

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 (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3134130352009) 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 15 ways as a sum of consecutive naturals, for example, 42891496 + ... + 42964504.

Almost surely, 2^{3134130352000} 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 3134130352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3897621327600).

3134130352000 is an abundant number, since it is smaller than the sum of its proper divisors (4661112303200).

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

3134130352000 is an equidigital number, since it uses as much as digits as its factorization.

3134130352000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75721 (or 75699 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 25.

Adding to 3134130352000 its reverse (2530314313), we get a palindrome (3136660666313).

The spelling of 3134130352000 in words is "three trillion, one hundred thirty-four billion, one hundred thirty million, three hundred fifty-two thousand".