8120135133 has 48 divisors (see below), whose sum is σ = 13235988480. Its totient is φ = 4752496800.

The previous prime is 8120135129. The next prime is 8120135147. The reversal of 8120135133 is 3315310218.

8120135133 is a `hidden beast` number, since 81 + 201 + 351 + 33 = 666.

It is not a de Polignac number, because 8120135133 - 2² = 8120135129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 8120135097 and 8120135106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8120135113) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1602558 + ... + 1607616.

It is an arithmetic number, because the mean of its divisors is an integer number (275749760).

Almost surely, 2^8120135133 is an apocalyptic number.

It is an amenable number.

8120135133 is a deficient number, since it is larger than the sum of its proper divisors (5115853347).

8120135133 is a wasteful number, since it uses less digits than its factorization.

8120135133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5630 (or 5627 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 8120135133 is about 90111.7924191945. The cubic root of 8120135133 is about 2009.9615623451.

The spelling of 8120135133 in words is "eight billion, one hundred twenty million, one hundred thirty-five thousand, one hundred thirty-three".