135756 has 30 divisors (see below), whose sum is σ = 355740. Its totient is φ = 45144.

The previous prime is 135743. The next prime is 135757. The reversal of 135756 is 657531.

135756 is nontrivially palindromic in base 8.

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 (135757) by changing a digit.

135756 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 115 + ... + 533.

It is an arithmetic number, because the mean of its divisors is an integer number (11858).

2¹³⁵⁷⁵⁶ 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 135756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177870).

135756 is an abundant number, since it is smaller than the sum of its proper divisors (219984).

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

135756 is a wasteful number, since it uses less digits than its factorization.

135756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 424 counting only the distinct ones).

The product of its digits is 3150, while the sum is 27.

The square root of 135756 is about 368.4508108283. The cubic root of 135756 is about 51.3948588579.

The spelling of 135756 in words is "one hundred thirty-five thousand, seven hundred fifty-six".