8136000 has 168 divisors, whose sum is σ = 29361384. Its totient is φ = 2150400.

The previous prime is 8135983. The next prime is 8136053. The reversal of 8136000 is 6318.

It can be written as a sum of positive squares in 4 ways, for example, as 2143296 + 5992704 = 1464^2 + 2448^2 .

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

It is a nialpdrome in base 15.

It is a zygodrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71944 + ... + 72056.

Almost surely, 2^8136000 is an apocalyptic number.

8136000 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 8136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14680692).

8136000 is an abundant number, since it is smaller than the sum of its proper divisors (21225384).

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

8136000 is a wasteful number, since it uses less digits than its factorization.

8136000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 8136000 is about 2852.3674377611. The cubic root of 8136000 is about 201.1269710865.

The spelling of 8136000 in words is "eight million, one hundred thirty-six thousand".