815144 has 32 divisors (see below), whose sum is σ = 1706400. Its totient is φ = 361920.

The previous prime is 815141. The next prime is 815149. The reversal of 815144 is 441518.

It is a plaindrome in base 12 and base 15.

It is a zygodrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (815141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5114 + ... + 5270.

It is an arithmetic number, because the mean of its divisors is an integer number (53325).

2⁸¹⁵¹⁴⁴ 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 815144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (853200).

815144 is an abundant number, since it is smaller than the sum of its proper divisors (891256).

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

815144 is a wasteful number, since it uses less digits than its factorization.

815144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 229 counting only the distinct ones).

The product of its digits is 640, while the sum is 23.

The square root of 815144 is about 902.8532549645. The cubic root of 815144 is about 93.4138873716.

It can be divided in two parts, 81514 and 4, that added together give a palindrome (81518).

The spelling of 815144 in words is "eight hundred fifteen thousand, one hundred forty-four".