135642 has 32 divisors (see below), whose sum is σ = 306432. Its totient is φ = 39744.

The previous prime is 135637. The next prime is 135647. The reversal of 135642 is 246531.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (135637) and next prime (135647).

It is not an unprimeable number, because it can be changed into a prime (135647) 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, 2863 + ... + 2909.

It is an arithmetic number, because the mean of its divisors is an integer number (9576).

2¹³⁵⁶⁴² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153216).

135642 is an abundant number, since it is smaller than the sum of its proper divisors (170790).

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

135642 is a wasteful number, since it uses less digits than its factorization.

135642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102.

The product of its digits is 720, while the sum is 21.

The square root of 135642 is about 368.2960765471. The cubic root of 135642 is about 51.3804686905.

Multiplying 135642 by its sum of digits (21), we get a palindrome (2848482).

Subtracting 135642 from its reverse (246531), we obtain a square (110889 = 333²).

It can be divided in two parts, 135 and 642, that added together give a palindrome (777).

The spelling of 135642 in words is "one hundred thirty-five thousand, six hundred forty-two".