2134375391232 has 1120 divisors, whose sum is σ = 7677154535424. Its totient is φ = 580475289600.

The previous prime is 2134375391227. The next prime is 2134375391237. The reversal of 2134375391232 is 2321935734312.

2134375391232 is a `hidden beast` number, since 2 + 1 + 343 + 75 + 3 + 9 + 1 + 232 = 666.

It is an interprime number because it is at equal distance from previous prime (2134375391227) and next prime (2134375391237).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2134375391237) 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 79 ways as a sum of consecutive naturals, for example, 34989760482 + ... + 34989760542.

Almost surely, 2^{2134375391232} 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 2134375391232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3838577267712).

2134375391232 is an abundant number, since it is smaller than the sum of its proper divisors (5542779144192).

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

2134375391232 is an frugal number, since it uses more digits than its factorization.

2134375391232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 104 counting only the distinct ones).

The product of its digits is 816480, while the sum is 45.

The spelling of 2134375391232 in words is "two trillion, one hundred thirty-four billion, three hundred seventy-five million, three hundred ninety-one thousand, two hundred thirty-two".