42167136 has 96 divisors (see below), whose sum is σ = 122629248. Its totient is φ = 12579840.

The previous prime is 42167117. The next prime is 42167159. The reversal of 42167136 is 63176124.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

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, 76815 + ... + 77361.

It is an arithmetic number, because the mean of its divisors is an integer number (1277388).

Almost surely, 2^42167136 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 42167136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61314624).

42167136 is an abundant number, since it is smaller than the sum of its proper divisors (80462112).

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

42167136 is a wasteful number, since it uses less digits than its factorization.

42167136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 636 counting only the distinct ones).

The product of its digits is 6048, while the sum is 30.

The square root of 42167136 is about 6493.6227177131. The cubic root of 42167136 is about 348.0631408750.

The spelling of 42167136 in words is "forty-two million, one hundred sixty-seven thousand, one hundred thirty-six".