42135642 has 12 divisors (see below), whose sum is σ = 91293930. Its totient is φ = 14045208.

The previous prime is 42135631. The next prime is 42135647. The reversal of 42135642 is 24653124.

42135642 is a `hidden beast` number, since 4 + 2 + 13 + 5 + 642 = 666.

It can be written as a sum of positive squares in only one way, i.e., 40717161 + 1418481 = 6381^2 + 1191^2 .

It is not an unprimeable number, because it can be changed into a prime (42135647) 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, 1170417 + ... + 1170452.

Almost surely, 2^42135642 is an apocalyptic number.

42135642 is an abundant number, since it is smaller than the sum of its proper divisors (49158288).

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

42135642 is a wasteful number, since it uses less digits than its factorization.

42135642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2340877 (or 2340874 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 42135642 is about 6491.1972701498. The cubic root of 42135642 is about 347.9764649165.

Adding to 42135642 its reverse (24653124), we get a palindrome (66788766).

It can be divided in two parts, 421 and 35642, that added together give a palindrome (36063).

The spelling of 42135642 in words is "forty-two million, one hundred thirty-five thousand, six hundred forty-two".