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135768 = 2335657
BaseRepresentation
bin100001001001011000
320220020110
4201021120
513321033
62524320
71103553
oct411130
9226213
10135768
1193006
12666a0
1349a49
143769a
152a363
hex21258

135768 has 16 divisors (see below), whose sum is σ = 339480. Its totient is φ = 45248.

The previous prime is 135757. The next prime is 135781. The reversal of 135768 is 867531.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 135768.

It is an unprimeable number.

135768 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 3 ways as a sum of consecutive naturals, for example, 2805 + ... + 2852.

2135768 is an apocalyptic number.

It is an amenable number.

135768 is an abundant number, since it is smaller than the sum of its proper divisors (203712).

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

135768 is a wasteful number, since it uses less digits than its factorization.

135768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5666 (or 5662 counting only the distinct ones).

The product of its digits is 5040, while the sum is 30.

The square root of 135768 is about 368.4670948674. The cubic root of 135768 is about 51.3963731436.

It can be divided in two parts, 135 and 768, that added together give a triangular number (903 = T42).

The spelling of 135768 in words is "one hundred thirty-five thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 24 5657 11314 16971 22628 33942 45256 67884 135768