4520134080 has 1008 divisors, whose sum is σ = 20869168320. Its totient is φ = 875888640.

The previous prime is 4520134051. The next prime is 4520134111. The reversal of 4520134080 is 804310254.

4520134080 is a `hidden beast` number, since 4 + 520 + 134 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×4520134080² = 40863224202354892800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 41469066 + ... + 41469174.

It is an arithmetic number, because the mean of its divisors is an integer number (20703540).

Almost surely, 2^4520134080 is an apocalyptic number.

4520134080 is a gapful number since it is divisible by the number (40) 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 4520134080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10434584160).

4520134080 is an abundant number, since it is smaller than the sum of its proper divisors (16349034240).

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

4520134080 is a wasteful number, since it uses less digits than its factorization.

4520134080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 4520134080 is about 67231.9424083523. The cubic root of 4520134080 is about 1653.4222304496.

The spelling of 4520134080 in words is "four billion, five hundred twenty million, one hundred thirty-four thousand, eighty".