135701136 has 80 divisors (see below), whose sum is σ = 402117120. Its totient is φ = 43770240.

The previous prime is 135701131. The next prime is 135701141. The reversal of 135701136 is 631107531.

It is an interprime number because it is at equal distance from previous prime (135701131) and next prime (135701141).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (135701131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8326 + ... + 18458.

It is an arithmetic number, because the mean of its divisors is an integer number (5026464).

Almost surely, 2^135701136 is an apocalyptic number.

135701136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135701136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201058560).

135701136 is an abundant number, since it is smaller than the sum of its proper divisors (266415984).

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

135701136 is a wasteful number, since it uses less digits than its factorization.

135701136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10181 (or 10169 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 135701136 is about 11649.0830540434. The cubic root of 135701136 is about 513.8793440647.

Adding to 135701136 its reverse (631107531), we get a palindrome (766808667).

It can be divided in two parts, 13570 and 1136, that added together give a triangular number (14706 = T₁₇₁).

The spelling of 135701136 in words is "one hundred thirty-five million, seven hundred one thousand, one hundred thirty-six".