542106144 has 36 divisors (see below), whose sum is σ = 1541615166. Its totient is φ = 180701952.

The previous prime is 542106143. The next prime is 542106181. The reversal of 542106144 is 441601245.

542106144 is a `hidden beast` number, since 5 + 42 + 1 + 0 + 614 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 506250000 + 35856144 = 22500^2 + 5988^2 .

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

It is not an unprimeable number, because it can be changed into a prime (542106143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 940869 + ... + 941444.

Almost surely, 2^542106144 is an apocalyptic number.

It is an amenable number.

542106144 is an abundant number, since it is smaller than the sum of its proper divisors (999509022).

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

542106144 is a wasteful number, since it uses less digits than its factorization.

542106144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1882329 (or 1882318 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 542106144 is about 23283.1729796435. The cubic root of 542106144 is about 815.3826068101.

Adding to 542106144 its reverse (441601245), we get a palindrome (983707389).

The spelling of 542106144 in words is "five hundred forty-two million, one hundred six thousand, one hundred forty-four".