42159150 has 192 divisors, whose sum is σ = 134991360. Its totient is φ = 9561600.

The previous prime is 42159149. The next prime is 42159151. The reversal of 42159150 is 5195124.

42159150 is a `hidden beast` number, since 4 + 21 + 591 + 50 = 666.

It is an interprime number because it is at equal distance from previous prime (42159149) and next prime (42159151).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42159151) 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 95 ways as a sum of consecutive naturals, for example, 252367 + ... + 252533.

It is an arithmetic number, because the mean of its divisors is an integer number (703080).

Almost surely, 2^42159150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42159150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67495680).

42159150 is an abundant number, since it is smaller than the sum of its proper divisors (92832210).

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

42159150 is a wasteful number, since it uses less digits than its factorization.

42159150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 42159150 is about 6493.0077776020. The cubic root of 42159150 is about 348.0411663548.

The spelling of 42159150 in words is "forty-two million, one hundred fifty-nine thousand, one hundred fifty".