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134313120 = 2533531091
BaseRepresentation
bin10000000000101…
…11010010100000
3100100201210222000
420000113102200
5233341004440
621154444000
73220433304
oct1000272240
9310653860
10134313120
11698a8487
1238b93600
1321a98a26
1413ba3d04
15bbd1730
hex80174a0

134313120 has 96 divisors (see below), whose sum is σ = 470111040. Its totient is φ = 35815680.

The previous prime is 134313119. The next prime is 134313149. The reversal of 134313120 is 21313431.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 134313093 and 134313102.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11226 + ... + 19865.

It is an arithmetic number, because the mean of its divisors is an integer number (4896990).

Almost surely, 2134313120 is an apocalyptic number.

134313120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134313120 is an abundant number, since it is smaller than the sum of its proper divisors (335797920).

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

134313120 is a wasteful number, since it uses less digits than its factorization.

134313120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31115 (or 31101 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 134313120 is about 11589.3537352175. The cubic root of 134313120 is about 512.1212684755.

Adding to 134313120 its reverse (21313431), we get a palindrome (155626551).

The spelling of 134313120 in words is "one hundred thirty-four million, three hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 31091 62182 93273 124364 155455 186546 248728 279819 310910 373092 466365 497456 559638 621820 746184 839457 932730 994912 1119276 1243640 1399095 1492368 1678914 1865460 2238552 2487280 2798190 2984736 3357828 3730920 4197285 4477104 4974560 5596380 6715656 7461840 8394570 8954208 11192760 13431312 14923680 16789140 22385520 26862624 33578280 44771040 67156560 134313120