815130144 has 144 divisors (see below), whose sum is σ = 2539456920. Its totient is φ = 246865920.

The previous prime is 815130119. The next prime is 815130167. The reversal of 815130144 is 441031518.

It is a happy number.

815130144 is a `hidden beast` number, since 8 + 1 + 513 + 0 + 144 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 771728400 + 43401744 = 27780^2 + 6588^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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, 139114 + ... + 144854.

Almost surely, 2^815130144 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 815130144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1269728460).

815130144 is an abundant number, since it is smaller than the sum of its proper divisors (1724326776).

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

815130144 is a wasteful number, since it uses less digits than its factorization.

815130144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5803 (or 5792 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 815130144 is about 28550.4841289951. The cubic root of 815130144 is about 934.1335807855.

It can be divided in two parts, 81 and 5130144, that added together give a square (5130225 = 2265²).

The spelling of 815130144 in words is "eight hundred fifteen million, one hundred thirty thousand, one hundred forty-four".