135687636 has 120 divisors (see below), whose sum is σ = 419569920. Its totient is φ = 37412928.

The previous prime is 135687631. The next prime is 135687641. The reversal of 135687636 is 636786531.

135687636 is a `hidden beast` number, since 1 + 3 + 5 + 6 + 8 + 7 + 636 = 666.

It is an interprime number because it is at equal distance from previous prime (135687631) and next prime (135687641).

It is a super-2 number, since 2×135687636² = 36822269126536992, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 135687591 and 135687600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135687631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 64741 + ... + 66803.

It is an arithmetic number, because the mean of its divisors is an integer number (3496416).

Almost surely, 2^135687636 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 135687636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209784960).

135687636 is an abundant number, since it is smaller than the sum of its proper divisors (283882284).

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

135687636 is a wasteful number, since it uses less digits than its factorization.

135687636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2115 (or 2104 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 135687636 is about 11648.5035948829. The cubic root of 135687636 is about 513.8623026912.

The spelling of 135687636 in words is "one hundred thirty-five million, six hundred eighty-seven thousand, six hundred thirty-six".