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136080 = 243557
BaseRepresentation
bin100001001110010000
320220200000
4201032100
513323310
62530000
71104510
oct411620
9226600
10136080
119326a
1266900
1349c29
1437840
152a4c0
hex21390

136080 has 120 divisors (see below), whose sum is σ = 541632. Its totient is φ = 31104.

The previous prime is 136069. The next prime is 136093. The reversal of 136080 is 80631.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a zygodrome in base 9.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19437 + ... + 19443.

2136080 is an apocalyptic number.

136080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270816).

136080 is an abundant number, since it is smaller than the sum of its proper divisors (405552).

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

136080 is an equidigital number, since it uses as much as digits as its factorization.

136080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 136080 is about 368.8902275745. The cubic root of 136080 is about 51.4357132939.

The spelling of 136080 in words is "one hundred thirty-six thousand, eighty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 35 36 40 42 45 48 54 56 60 63 70 72 80 81 84 90 105 108 112 120 126 135 140 144 162 168 180 189 210 216 240 243 252 270 280 315 324 336 360 378 405 420 432 486 504 540 560 567 630 648 720 756 810 840 945 972 1008 1080 1134 1215 1260 1296 1512 1620 1680 1701 1890 1944 2160 2268 2430 2520 2835 3024 3240 3402 3780 3888 4536 4860 5040 5670 6480 6804 7560 8505 9072 9720 11340 13608 15120 17010 19440 22680 27216 34020 45360 68040 136080