2133656146152 has 96 divisors (see below), whose sum is σ = 5836926401280. Its totient is φ = 704079941760.

The previous prime is 2133656146147. The next prime is 2133656146159. The reversal of 2133656146152 is 2516416563312.

It is a happy number.

2133656146152 is a `hidden beast` number, since 2 + 1 + 3 + 36 + 561 + 4 + 6 + 1 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2133656146098 and 2133656146107.

It is not an unprimeable number, because it can be changed into a prime (2133656146159) 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 23 ways as a sum of consecutive naturals, for example, 2715133 + ... + 3411635.

It is an arithmetic number, because the mean of its divisors is an integer number (60801316680).

Almost surely, 2^{2133656146152} 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 2133656146152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2918463200640).

2133656146152 is an abundant number, since it is smaller than the sum of its proper divisors (3703270255128).

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

2133656146152 is a wasteful number, since it uses less digits than its factorization.

2133656146152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696943 (or 696936 counting only the distinct ones).

The product of its digits is 777600, while the sum is 45.

The spelling of 2133656146152 in words is "two trillion, one hundred thirty-three billion, six hundred fifty-six million, one hundred forty-six thousand, one hundred fifty-two".