135952 has 20 divisors (see below), whose sum is σ = 273420. Its totient is φ = 65408.

The previous prime is 135937. The next prime is 135977. The reversal of 135952 is 259531.

It can be written as a sum of positive squares in 2 ways, for example, as 104976 + 30976 = 324^2 + 176^2 .

It is a plaindrome in base 14.

It is an unprimeable number.

135952 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 318 + ... + 610.

It is an arithmetic number, because the mean of its divisors is an integer number (13671).

2¹³⁵⁹⁵² 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 135952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136710).

135952 is an abundant number, since it is smaller than the sum of its proper divisors (137468).

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

135952 is a wasteful number, since it uses less digits than its factorization.

135952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 324 counting only the distinct ones).

The product of its digits is 1350, while the sum is 25.

The square root of 135952 is about 368.7166934111. The cubic root of 135952 is about 51.4195810269.

It can be divided in two parts, 1 and 35952, that added together give a palindrome (35953).

The spelling of 135952 in words is "one hundred thirty-five thousand, nine hundred fifty-two".