135837829 has 8 divisors (see below), whose sum is σ = 138198168. Its totient is φ = 133497600.

The previous prime is 135837811. The next prime is 135837833. The reversal of 135837829 is 928738531.

It can be written as a sum of positive squares in 4 ways, for example, as 105884100 + 29953729 = 10290^2 + 5473^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 135837829 - 2¹³ = 135829637 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135837809) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8929 + ... + 18745.

It is an arithmetic number, because the mean of its divisors is an integer number (17274771).

Almost surely, 2^135837829 is an apocalyptic number.

It is an amenable number.

135837829 is a deficient number, since it is larger than the sum of its proper divisors (2360339).

135837829 is a wasteful number, since it uses less digits than its factorization.

135837829 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10055.

The product of its digits is 362880, while the sum is 46.

The square root of 135837829 is about 11654.9486914358. The cubic root of 135837829 is about 514.0518312885.

It can be divided in two parts, 13583 and 7829, that added together give a palindrome (21412).

The spelling of 135837829 in words is "one hundred thirty-five million, eight hundred thirty-seven thousand, eight hundred twenty-nine".