2134156063752 has 256 divisors, whose sum is σ = 6191246131200. Its totient is φ = 680386936320.

The previous prime is 2134156063751. The next prime is 2134156063759. The reversal of 2134156063752 is 2573606514312.

2134156063752 is a `hidden beast` number, since 2 + 1 + 3 + 4 + 1 + 5 + 6 + 0 + 637 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2134156063698 and 2134156063707.

It is not an unprimeable number, because it can be changed into a prime (2134156063751) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 377256508 + ... + 377262164.

It is an arithmetic number, because the mean of its divisors is an integer number (24184555200).

Almost surely, 2^{2134156063752} 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 2134156063752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3095623065600).

2134156063752 is an abundant number, since it is smaller than the sum of its proper divisors (4057090067448).

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

2134156063752 is a wasteful number, since it uses less digits than its factorization.

2134156063752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6353 (or 6343 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 2134156063752 in words is "two trillion, one hundred thirty-four billion, one hundred fifty-six million, sixty-three thousand, seven hundred fifty-two".