42152 has 16 divisors (see below), whose sum is σ = 86400. Its totient is φ = 19120.

The previous prime is 42139. The next prime is 42157. The reversal of 42152 is 25124.

It is a super-2 number, since 2×42152² = 3553582208, which contains 22 as substring.

It is a nialpdrome in base 15.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 42152.

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

42152 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 152 + ... + 327.

It is an arithmetic number, because the mean of its divisors is an integer number (5400).

2⁴²¹⁵² is an apocalyptic number.

It is an amenable number.

42152 is an abundant number, since it is smaller than the sum of its proper divisors (44248).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43200).

42152 is a wasteful number, since it uses less digits than its factorization.

42152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 492 counting only the distinct ones).

The product of its digits is 80, while the sum is 14.

The square root of 42152 is about 205.3095224289. The cubic root of 42152 is about 34.8021489843.

Adding to 42152 its reverse (25124), we get a palindrome (67276).

The spelling of 42152 in words is "forty-two thousand, one hundred fifty-two".