135957684 has 48 divisors (see below), whose sum is σ = 337075200. Its totient is φ = 42569856.

The previous prime is 135957683. The next prime is 135957697. The reversal of 135957684 is 486759531.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135957683) 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 15 ways as a sum of consecutive naturals, for example, 7597 + ... + 18155.

It is an arithmetic number, because the mean of its divisors is an integer number (7022400).

Almost surely, 2^135957684 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 135957684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168537600).

135957684 is an abundant number, since it is smaller than the sum of its proper divisors (201117516).

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

135957684 is a wasteful number, since it uses less digits than its factorization.

135957684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10632 (or 10630 counting only the distinct ones).

The product of its digits is 907200, while the sum is 48.

The square root of 135957684 is about 11660.0893650092. The cubic root of 135957684 is about 514.2029761519.

The spelling of 135957684 in words is "one hundred thirty-five million, nine hundred fifty-seven thousand, six hundred eighty-four".