6036138144 has 120 divisors (see below), whose sum is σ = 17928655668. Its totient is φ = 1992038400.

The previous prime is 6036138107. The next prime is 6036138151. The reversal of 6036138144 is 4418316306.

It is a happy number.

6036138144 is a `hidden beast` number, since 603 + 6 + 1 + 3 + 8 + 1 + 44 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4222400400 + 1813737744 = 64980^2 + 42588^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6036138099 and 6036138108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 250264 + ... + 273320.

Almost surely, 2^6036138144 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 6036138144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8964327834).

6036138144 is an abundant number, since it is smaller than the sum of its proper divisors (11892517524).

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

6036138144 is a wasteful number, since it uses less digits than its factorization.

6036138144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23180 (or 23163 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 6036138144 is about 77692.5874456502. The cubic root of 6036138144 is about 1820.7614798504.

The spelling of 6036138144 in words is "six billion, thirty-six million, one hundred thirty-eight thousand, one hundred forty-four".