805137000 has 128 divisors (see below), whose sum is σ = 2659962240. Its totient is φ = 202060800.

The previous prime is 805136971. The next prime is 805137071. The reversal of 805137000 is 731508.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43107 + ... + 58893.

It is an arithmetic number, because the mean of its divisors is an integer number (20780955).

Almost surely, 2^805137000 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 805137000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1329981120).

805137000 is an abundant number, since it is smaller than the sum of its proper divisors (1854825240).

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

805137000 is a wasteful number, since it uses less digits than its factorization.

805137000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15828 (or 15814 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 805137000 is about 28374.9361232761. The cubic root of 805137000 is about 930.3005156700.

Adding to 805137000 its reverse (731508), we get a palindrome (805868508).

The spelling of 805137000 in words is "eight hundred five million, one hundred thirty-seven thousand".