42533136 has 60 divisors (see below), whose sum is σ = 121301388. Its totient is φ = 13907712.

The previous prime is 42533131. The next prime is 42533143. The reversal of 42533136 is 63133524.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 14017536 + 28515600 = 3744^2 + 5340^2 .

It is not an unprimeable number, because it can be changed into a prime (42533131) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4846 + ... + 10418.

Almost surely, 2^42533136 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 42533136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60650694).

42533136 is an abundant number, since it is smaller than the sum of its proper divisors (78768252).

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

42533136 is a wasteful number, since it uses less digits than its factorization.

42533136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5640 (or 5631 counting only the distinct ones).

The product of its digits is 6480, while the sum is 27.

The square root of 42533136 is about 6521.7433252160. The cubic root of 42533136 is about 349.0672743824.

The spelling of 42533136 in words is "forty-two million, five hundred thirty-three thousand, one hundred thirty-six".