135632 has 30 divisors (see below), whose sum is σ = 307458. Its totient is φ = 57792.

The previous prime is 135623. The next prime is 135637. The reversal of 135632 is 236531.

It can be written as a sum of positive squares in only one way, i.e., 132496 + 3136 = 364^2 + 56^2 .

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135637) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 698 + ... + 870.

2¹³⁵⁶³² 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 135632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153729).

135632 is an abundant number, since it is smaller than the sum of its proper divisors (171826).

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

135632 is a wasteful number, since it uses less digits than its factorization.

135632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 182 counting only the distinct ones).

The product of its digits is 540, while the sum is 20.

The square root of 135632 is about 368.2825002630. The cubic root of 135632 is about 51.3792060105.

It can be divided in two parts, 135 and 632, that added together give a palindrome (767).

The spelling of 135632 in words is "one hundred thirty-five thousand, six hundred thirty-two".