42136116 has 48 divisors (see below), whose sum is σ = 109034688. Its totient is φ = 12556800.

The previous prime is 42136079. The next prime is 42136117. The reversal of 42136116 is 61163124.

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 (42136117) 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 15 ways as a sum of consecutive naturals, for example, 5436 + ... + 10668.

It is an arithmetic number, because the mean of its divisors is an integer number (2271556).

Almost surely, 2^42136116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42136116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54517344).

42136116 is an abundant number, since it is smaller than the sum of its proper divisors (66898572).

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

42136116 is a wasteful number, since it uses less digits than its factorization.

42136116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5312 (or 5310 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 42136116 is about 6491.2337810312. The cubic root of 42136116 is about 347.9777697518.

The spelling of 42136116 in words is "forty-two million, one hundred thirty-six thousand, one hundred sixteen".