42135016 has 64 divisors (see below), whose sum is σ = 99953280. Its totient is φ = 16174080.

The previous prime is 42135013. The next prime is 42135017. The reversal of 42135016 is 61053124.

42135016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (42135013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44500 + ... + 45436.

It is an arithmetic number, because the mean of its divisors is an integer number (1561770).

Almost surely, 2^42135016 is an apocalyptic number.

42135016 is the 3748-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42135016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49976640).

42135016 is an abundant number, since it is smaller than the sum of its proper divisors (57818264).

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

42135016 is a wasteful number, since it uses less digits than its factorization.

42135016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1034 (or 1030 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 42135016 is about 6491.1490508230. The cubic root of 42135016 is about 347.9747416379.

It can be divided in two parts, 4213 and 5016, that added together give a palindrome (9229).

The spelling of 42135016 in words is "forty-two million, one hundred thirty-five thousand, sixteen".