854136000 has 168 divisors, whose sum is σ = 3055644384. Its totient is φ = 227750400.

The previous prime is 854135999. The next prime is 854136001. The reversal of 854136000 is 631458.

854136000 is a `hidden beast` number, since 8 + 54 + 1 + 3 + 600 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (854135999) and next prime (854136001).

It is not an unprimeable number, because it can be changed into a prime (854136001) 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, 66069 + ... + 77931.

Almost surely, 2^854136000 is an apocalyptic number.

854136000 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 854136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1527822192).

854136000 is an abundant number, since it is smaller than the sum of its proper divisors (2201508384).

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

854136000 is a wasteful number, since it uses less digits than its factorization.

854136000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11896 (or 11873 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 854136000 is about 29225.6052118686. The cubic root of 854136000 is about 948.8021838014.

Adding to 854136000 its reverse (631458), we get a palindrome (854767458).

The spelling of 854136000 in words is "eight hundred fifty-four million, one hundred thirty-six thousand".