8123136 has 72 divisors (see below), whose sum is σ = 24724224. Its totient is φ = 2319360.

The previous prime is 8123123. The next prime is 8123183. The reversal of 8123136 is 6313218.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4621 + ... + 6131.

It is an arithmetic number, because the mean of its divisors is an integer number (343392).

Almost surely, 2^8123136 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 8123136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12362112).

8123136 is an abundant number, since it is smaller than the sum of its proper divisors (16601088).

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

8123136 is a wasteful number, since it uses less digits than its factorization.

8123136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1537 (or 1523 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 8123136 is about 2850.1115767633. Note that the first 3 decimals coincide. The cubic root of 8123136 is about 201.0209131479.

The spelling of 8123136 in words is "eight million, one hundred twenty-three thousand, one hundred thirty-six".