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135684 = 22323769
BaseRepresentation
bin100001001000000100
320220010100
4201020010
513320214
62524100
71103403
oct411004
9226110
10135684
1192a3a
1266630
13499b3
143763a
152a309
hex21204

135684 has 18 divisors (see below), whose sum is σ = 343070. Its totient is φ = 45216.

The previous prime is 135671. The next prime is 135697. The reversal of 135684 is 486531.

It is an interprime number because it is at equal distance from previous prime (135671) and next prime (135697).

It can be written as a sum of positive squares in only one way, i.e., 129600 + 6084 = 360^2 + 78^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a nialpdrome in base 12.

It is an unprimeable number.

135684 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 5 ways as a sum of consecutive naturals, for example, 1849 + ... + 1920.

2135684 is an apocalyptic number.

It is an amenable number.

135684 is an abundant number, since it is smaller than the sum of its proper divisors (207386).

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

135684 is a wasteful number, since it uses less digits than its factorization.

135684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3779 (or 3774 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 135684 is about 368.3530914761. The cubic root of 135684 is about 51.3857712688.

The spelling of 135684 in words is "one hundred thirty-five thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 36 3769 7538 11307 15076 22614 33921 45228 67842 135684