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134697200 = 245211423
BaseRepresentation
bin10000000011101…
…01000011110000
3100101110022211012
420001311003300
5233440302300
621211010052
73223623131
oct1001650360
9311408735
10134697200
116a040000
1239139928
1321ba17b1
1413c63c88
15bc5a435
hex80750f0

134697200 has 150 divisors (see below), whose sum is σ = 371445720. Its totient is φ = 46851200.

The previous prime is 134697193. The next prime is 134697217. The reversal of 134697200 is 2796431.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 5856389 + ... + 5856411.

Almost surely, 2134697200 is an apocalyptic number.

134697200 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 134697200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185722860).

134697200 is an abundant number, since it is smaller than the sum of its proper divisors (236748520).

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

134697200 is an equidigital number, since it uses as much as digits as its factorization.

134697200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 32.

The square root of 134697200 is about 11605.9122864168. The cubic root of 134697200 is about 512.6089556173.

The spelling of 134697200 in words is "one hundred thirty-four million, six hundred ninety-seven thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 25 40 44 46 50 55 80 88 92 100 110 115 121 176 184 200 220 230 242 253 275 368 400 440 460 484 506 550 575 605 880 920 968 1012 1100 1150 1210 1265 1331 1840 1936 2024 2200 2300 2420 2530 2662 2783 3025 4048 4400 4600 4840 5060 5324 5566 6050 6325 6655 9200 9680 10120 10648 11132 12100 12650 13310 13915 14641 20240 21296 22264 24200 25300 26620 27830 29282 30613 33275 44528 48400 50600 53240 55660 58564 61226 66550 69575 73205 101200 106480 111320 117128 122452 133100 139150 146410 153065 222640 234256 244904 266200 278300 292820 306130 336743 366025 489808 532400 556600 585640 612260 673486 732050 765325 1113200 1171280 1224520 1346972 1464100 1530650 1683715 2449040 2693944 2928200 3061300 3367430 5387888 5856400 6122600 6734860 8418575 12245200 13469720 16837150 26939440 33674300 67348600 134697200