135630 has 48 divisors (see below), whose sum is σ = 387504. Its totient is φ = 32640.

The previous prime is 135623. The next prime is 135637. The reversal of 135630 is 36531.

135630 is a `hidden beast` number, since 1 + 35 + 630 = 666.

It is an interprime number because it is at equal distance from previous prime (135623) and next prime (135637).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

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

135630 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 23 ways as a sum of consecutive naturals, for example, 922 + ... + 1058.

It is an arithmetic number, because the mean of its divisors is an integer number (8073).

2¹³⁵⁶³⁰ is an apocalyptic number.

135630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 135630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193752).

135630 is an abundant number, since it is smaller than the sum of its proper divisors (251874).

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

135630 is a wasteful number, since it uses less digits than its factorization.

135630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 135630 is about 368.2797849462. The cubic root of 135630 is about 51.3789534671.

Subtracting from 135630 its reverse (36531), we obtain a palindrome (99099).

The spelling of 135630 in words is "one hundred thirty-five thousand, six hundred thirty".