8145000 has 120 divisors (see below), whose sum is σ = 27717690. Its totient is φ = 2160000.

The previous prime is 8144999. The next prime is 8145001. The reversal of 8145000 is 5418.

It is an interprime number because it is at equal distance from previous prime (8144999) and next prime (8145001).

It can be written as a sum of positive squares in 5 ways, for example, as 427716 + 7717284 = 654^2 + 2778^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (8145001) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 44910 + ... + 45090.

Almost surely, 2^8145000 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 8145000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13858845).

8145000 is an abundant number, since it is smaller than the sum of its proper divisors (19572690).

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

8145000 is a wasteful number, since it uses less digits than its factorization.

8145000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 8145000 is about 2853.9446385661. The cubic root of 8145000 is about 201.2011056199.

The spelling of 8145000 in words is "eight million, one hundred forty-five thousand".