8135712 has 144 divisors (see below), whose sum is σ = 26004888. Its totient is φ = 2396160.

The previous prime is 8135641. The next prime is 8135713. The reversal of 8135712 is 2175318.

It can be written as a sum of positive squares in 4 ways, for example, as 4309776 + 3825936 = 2076^2 + 1956^2 .

It is a tau number, because it is divible by the number of its divisors (144).

Its product of digits (1680) is a multiple of the sum of its prime divisors (112).

It is not an unprimeable number, because it can be changed into a prime (8135713) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 153478 + ... + 153530.

Almost surely, 2^8135712 is an apocalyptic number.

8135712 is a gapful number since it is divisible by the number (82) 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 8135712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13002444).

8135712 is an abundant number, since it is smaller than the sum of its proper divisors (17869176).

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

8135712 is a wasteful number, since it uses less digits than its factorization.

8135712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 112 counting only the distinct ones).

The product of its digits is 1680, while the sum is 27.

The square root of 8135712 is about 2852.3169529349. The cubic root of 8135712 is about 201.1245978789.

The spelling of 8135712 in words is "eight million, one hundred thirty-five thousand, seven hundred twelve".