8010134528 has 176 divisors, whose sum is σ = 18835675200. Its totient is φ = 3363962880.

The previous prime is 8010134519. The next prime is 8010134581. The reversal of 8010134528 is 8254310108.

It is a tau number, because it is divible by the number of its divisors (176).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 8010134494 and 8010134503.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11297438 + ... + 11298146.

Almost surely, 2^8010134528 is an apocalyptic number.

8010134528 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8010134528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9417837600).

8010134528 is an abundant number, since it is smaller than the sum of its proper divisors (10825540672).

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

8010134528 is a wasteful number, since it uses less digits than its factorization.

8010134528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 8010134528 is about 89499.3549027031. The cubic root of 8010134528 is about 2000.8441876235.

The spelling of 8010134528 in words is "eight billion, ten million, one hundred thirty-four thousand, five hundred twenty-eight".