42156 has 18 divisors (see below), whose sum is σ = 106652. Its totient is φ = 14040.

The previous prime is 42139. The next prime is 42157. The reversal of 42156 is 65124.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 42156.

It is not an unprimeable number, because it can be changed into a prime (42157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 550 + ... + 621.

2⁴²¹⁵⁶ is an apocalyptic number.

It is an amenable number.

42156 is an abundant number, since it is smaller than the sum of its proper divisors (64496).

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

42156 is a wasteful number, since it uses less digits than its factorization.

42156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1181 (or 1176 counting only the distinct ones).

The product of its digits is 240, while the sum is 18.

The square root of 42156 is about 205.3192635872. The cubic root of 42156 is about 34.8032497956.

The spelling of 42156 in words is "forty-two thousand, one hundred fifty-six".