135842616 has 128 divisors (see below), whose sum is σ = 464486400. Its totient is φ = 35821440.

The previous prime is 135842593. The next prime is 135842617. The reversal of 135842616 is 616248531.

It is a happy number.

135842616 is a `hidden beast` number, since 1 + 35 + 8 + 4 + 2 + 616 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135842617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16201 + ... + 23111.

It is an arithmetic number, because the mean of its divisors is an integer number (3628800).

Almost surely, 2^135842616 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 135842616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232243200).

135842616 is an abundant number, since it is smaller than the sum of its proper divisors (328643784).

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

135842616 is a wasteful number, since it uses less digits than its factorization.

135842616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6946 (or 6936 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 135842616 is about 11655.1540530359. The cubic root of 135842616 is about 514.0578697076.

The spelling of 135842616 in words is "one hundred thirty-five million, eight hundred forty-two thousand, six hundred sixteen".