6138144 has 36 divisors (see below), whose sum is σ = 17456166. Its totient is φ = 2045952.

The previous prime is 6138131. The next prime is 6138149. The reversal of 6138144 is 4418316.

6138144 is a `hidden beast` number, since 613 + 8 + 1 + 44 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5702544 + 435600 = 2388^2 + 660^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (6138149) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10369 + ... + 10944.

Almost surely, 2^6138144 is an apocalyptic number.

It is an amenable number.

6138144 is an abundant number, since it is smaller than the sum of its proper divisors (11318022).

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

6138144 is a wasteful number, since it uses less digits than its factorization.

6138144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21329 (or 21318 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 6138144 is about 2477.5278000458. The cubic root of 6138144 is about 183.0960706707.

It can be divided in two parts, 61381 and 44, that added together give a triangular number (61425 = T₃₅₀).

The spelling of 6138144 in words is "six million, one hundred thirty-eight thousand, one hundred forty-four".