8002135368 has 64 divisors (see below), whose sum is σ = 22250332800. Its totient is φ = 2664717120.

The previous prime is 8002135357. The next prime is 8002135381. The reversal of 8002135368 is 8635312008.

8002135368 is a `hidden beast` number, since 80 + 0 + 213 + 5 + 368 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 204730 + ... + 240662.

It is an arithmetic number, because the mean of its divisors is an integer number (347661450).

Almost surely, 2^8002135368 is an apocalyptic number.

It is an amenable number.

8002135368 is an abundant number, since it is smaller than the sum of its proper divisors (14248197432).

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

8002135368 is a wasteful number, since it uses less digits than its factorization.

8002135368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36979 (or 36969 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 8002135368 is about 89454.6553735467. The cubic root of 8002135368 is about 2000.1779315031.

The spelling of 8002135368 in words is "eight billion, two million, one hundred thirty-five thousand, three hundred sixty-eight".