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135110000 = 245459229
BaseRepresentation
bin10000000110110…
…01110101110000
3100102020022002002
420003121311300
5234042010000
621223513132
73230262464
oct1003316560
9312208062
10135110000
116a2a2163
12392b87a8
1321cb765c
1413d304a4
15bcdc8d5
hex80d9d70

135110000 has 100 divisors (see below), whose sum is σ = 334111800. Its totient is φ = 52896000.

The previous prime is 135109993. The next prime is 135110011. The reversal of 135110000 is 11531.

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 589886 + ... + 590114.

It is an arithmetic number, because the mean of its divisors is an integer number (3341118).

Almost surely, 2135110000 is an apocalyptic number.

135110000 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 135110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167055900).

135110000 is an abundant number, since it is smaller than the sum of its proper divisors (199001800).

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

135110000 is an equidigital number, since it uses as much as digits as its factorization.

135110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 15, while the sum is 11.

The square root of 135110000 is about 11623.6827210656. The cubic root of 135110000 is about 513.1320775505.

Adding to 135110000 its reverse (11531), we get a palindrome (135121531).

The spelling of 135110000 in words is "one hundred thirty-five million, one hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 59 80 100 118 125 200 229 236 250 295 400 458 472 500 590 625 916 944 1000 1145 1180 1250 1475 1832 2000 2290 2360 2500 2950 3664 4580 4720 5000 5725 5900 7375 9160 10000 11450 11800 13511 14750 18320 22900 23600 27022 28625 29500 36875 45800 54044 57250 59000 67555 73750 91600 108088 114500 118000 135110 143125 147500 216176 229000 270220 286250 295000 337775 458000 540440 572500 590000 675550 1080880 1145000 1351100 1688875 2290000 2702200 3377750 5404400 6755500 8444375 13511000 16888750 27022000 33777500 67555000 135110000