8135147520 has 320 divisors, whose sum is σ = 29213143740. Its totient is φ = 2165833728.

The previous prime is 8135147507. The next prime is 8135147539. The reversal of 8135147520 is 257415318.

8135147520 is a `hidden beast` number, since 81 + 3 + 51 + 4 + 7 + 520 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6689931264 + 1445216256 = 81792^2 + 38016^2 .

It is a tau number, because it is divible by the number of its divisors (320).

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 13270734 + ... + 13271346.

Almost surely, 2^8135147520 is an apocalyptic number.

8135147520 is a gapful number since it is divisible by the number (80) 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 8135147520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14606571870).

8135147520 is an abundant number, since it is smaller than the sum of its proper divisors (21077996220).

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

8135147520 is an frugal number, since it uses more digits than its factorization.

8135147520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 8135147520 is about 90195.0526359401. The cubic root of 8135147520 is about 2011.1994622950.

The spelling of 8135147520 in words is "eight billion, one hundred thirty-five million, one hundred forty-seven thousand, five hundred twenty".