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134312000 = 2653103163
BaseRepresentation
bin10000000000101…
…11000001000000
3100100201202102112
420000113001000
5233340441000
621154434452
73220430114
oct1000270100
9310652375
10134312000
11698a7659
1238b92a28
1321a98374
1413ba3744
15bbd1235
hex8017040

134312000 has 112 divisors (see below), whose sum is σ = 337913472. Its totient is φ = 52876800.

The previous prime is 134311997. The next prime is 134312029. The reversal of 134312000 is 213431.

134312000 = T1403 + T1404 + ... + T1527.

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, 823919 + ... + 824081.

Almost surely, 2134312000 is an apocalyptic number.

134312000 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 134312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168956736).

134312000 is an abundant number, since it is smaller than the sum of its proper divisors (203601472).

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

134312000 is a wasteful number, since it uses less digits than its factorization.

134312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 134312000 is about 11589.3054149073. The cubic root of 134312000 is about 512.1198449923.

Adding to 134312000 its reverse (213431), we get a palindrome (134525431).

The spelling of 134312000 in words is "one hundred thirty-four million, three hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 103 125 160 163 200 206 250 320 326 400 412 500 515 652 800 815 824 1000 1030 1304 1600 1630 1648 2000 2060 2575 2608 3260 3296 4000 4075 4120 5150 5216 6520 6592 8000 8150 8240 10300 10432 12875 13040 16300 16480 16789 20375 20600 25750 26080 32600 32960 33578 40750 41200 51500 52160 65200 67156 81500 82400 83945 103000 130400 134312 163000 164800 167890 206000 260800 268624 326000 335780 412000 419725 537248 652000 671560 824000 839450 1074496 1304000 1343120 1678900 2098625 2686240 3357800 4197250 5372480 6715600 8394500 13431200 16789000 26862400 33578000 67156000 134312000