42150 has 24 divisors (see below), whose sum is σ = 104904. Its totient is φ = 11200.

The previous prime is 42139. The next prime is 42157. The reversal of 42150 is 5124.

It is a plaindrome in base 8.

It is a nialpdrome in base 15.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 42150.

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 11 ways as a sum of consecutive naturals, for example, 10 + ... + 290.

It is an arithmetic number, because the mean of its divisors is an integer number (4371).

2⁴²¹⁵⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52452).

42150 is an abundant number, since it is smaller than the sum of its proper divisors (62754).

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

42150 is a wasteful number, since it uses less digits than its factorization.

42150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 42150 is about 205.3046516765. The cubic root of 42150 is about 34.8015985525.

Adding to 42150 its reverse (5124), we get a palindrome (47274).

The spelling of 42150 in words is "forty-two thousand, one hundred fifty".