8148000 has 192 divisors, whose sum is σ = 30820608. Its totient is φ = 1843200.

The previous prime is 8147999. The next prime is 8148013. The reversal of 8148000 is 8418.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83952 + ... + 84048.

It is an arithmetic number, because the mean of its divisors is an integer number (160524).

Almost surely, 2^8148000 is an apocalyptic number.

8148000 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 8148000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15410304).

8148000 is an abundant number, since it is smaller than the sum of its proper divisors (22672608).

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

8148000 is a wasteful number, since it uses less digits than its factorization.

8148000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 8148000 is about 2854.4701785095. The cubic root of 8148000 is about 201.2258049948.

The spelling of 8148000 in words is "eight million, one hundred forty-eight thousand".