6129144 has 48 divisors (see below), whose sum is σ = 18972720. Its totient is φ = 1751040.

The previous prime is 6129143. The next prime is 6129157. The reversal of 6129144 is 4419216.

6129144 is a `hidden beast` number, since 612 + 9 + 1 + 44 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6129143) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 5577 + ... + 6584.

It is an arithmetic number, because the mean of its divisors is an integer number (395265).

Almost surely, 2^6129144 is an apocalyptic number.

It is an amenable number.

6129144 is an abundant number, since it is smaller than the sum of its proper divisors (12843576).

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

6129144 is a wasteful number, since it uses less digits than its factorization.

6129144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12180 (or 12173 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 6129144 is about 2475.7108070209. The cubic root of 6129144 is about 183.0065392270.

The spelling of 6129144 in words is "six million, one hundred twenty-nine thousand, one hundred forty-four".