42012135 has 64 divisors (see below), whose sum is σ = 85824000. Its totient is φ = 19284480.

The previous prime is 42012133. The next prime is 42012143. The reversal of 42012135 is 53121024.

It is not a de Polignac number, because 42012135 - 2¹ = 42012133 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42012133) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27471 + ... + 28959.

It is an arithmetic number, because the mean of its divisors is an integer number (1341000).

Almost surely, 2^42012135 is an apocalyptic number.

42012135 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

42012135 is an abundant number, since it is smaller than the sum of its proper divisors (43811865).

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

42012135 is a wasteful number, since it uses less digits than its factorization.

42012135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1533 (or 1527 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 42012135 is about 6481.6768663672. The cubic root of 42012135 is about 347.6361387121.

Adding to 42012135 its reverse (53121024), we get a palindrome (95133159).

Subtracting 42012135 from its reverse (53121024), we obtain a square (11108889 = 3333²).

It can be divided in two parts, 4201 and 2135, that added together give a palindrome (6336).

The spelling of 42012135 in words is "forty-two million, twelve thousand, one hundred thirty-five".