126042642 has 112 divisors (see below), whose sum is σ = 321079680. Its totient is φ = 36741600.

The previous prime is 126042617. The next prime is 126042649. The reversal of 126042642 is 246240621.

126042642 is a `hidden beast` number, since 12 + 6 + 0 + 4 + 2 + 642 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (126042649) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 464967 + ... + 465237.

Almost surely, 2^126042642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126042642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160539840).

126042642 is an abundant number, since it is smaller than the sum of its proper divisors (195037038).

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

126042642 is a wasteful number, since it uses less digits than its factorization.

126042642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 126042642 is about 11226.8714252903. The cubic root of 126042642 is about 501.3863418930.

The spelling of 126042642 in words is "one hundred twenty-six million, forty-two thousand, six hundred forty-two".