42135133345 has 8 divisors (see below), whose sum is σ = 50563604520. Its totient is φ = 33707143680.

The previous prime is 42135133297. The next prime is 42135133379. The reversal of 42135133345 is 54333153124.

It can be written as a sum of positive squares in 4 ways, for example, as 2803914304 + 39331219041 = 52952^2 + 198321^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 42135133345 - 2³¹ = 39987649697 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 42135133345.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 113425 + ... + 311665.

It is an arithmetic number, because the mean of its divisors is an integer number (6320450565).

Almost surely, 2^42135133345 is an apocalyptic number.

It is an amenable number.

42135133345 is a deficient number, since it is larger than the sum of its proper divisors (8428471175).

42135133345 is a wasteful number, since it uses less digits than its factorization.

42135133345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240755.

The product of its digits is 64800, while the sum is 34.

Adding to 42135133345 its reverse (54333153124), we get a palindrome (96468286469).

The spelling of 42135133345 in words is "forty-two billion, one hundred thirty-five million, one hundred thirty-three thousand, three hundred forty-five".