8002135152 has 400 divisors, whose sum is σ = 27482526720. Its totient is φ = 2220825600.

The previous prime is 8002135139. The next prime is 8002135153. The reversal of 8002135152 is 2515312008.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8002135153) 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, 8396308 + ... + 8397260.

Almost surely, 2^8002135152 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 8002135152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13741263360).

8002135152 is an abundant number, since it is smaller than the sum of its proper divisors (19480391568).

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

8002135152 is a wasteful number, since it uses less digits than its factorization.

8002135152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1034 (or 1019 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 8002135152 is about 89454.6541662311. The cubic root of 8002135152 is about 2000.1779135063.

The spelling of 8002135152 in words is "eight billion, two million, one hundred thirty-five thousand, one hundred fifty-two".