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134283136 = 27131747101
BaseRepresentation
bin10000000000011…
…11111110000000
3100100200021211111
420000033332000
5233334030021
621154053104
73220250011
oct1000177600
9310607744
10134283136
11698879a9
1238b7a194
1321a881a0
1413b97008
15bbc78e1
hex800ff80

134283136 has 128 divisors (see below), whose sum is σ = 314616960. Its totient is φ = 56524800.

The previous prime is 134283113. The next prime is 134283139. The reversal of 134283136 is 631382431.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1342831362 = 36063921227988992, which contains 22 as substring.

Its product of digits (10368) is a multiple of the sum of its prime factors (192).

It is a junction number, because it is equal to n+sod(n) for n = 134283098 and 134283107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134283139) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1329486 + ... + 1329586.

It is an arithmetic number, because the mean of its divisors is an integer number (2457945).

Almost surely, 2134283136 is an apocalyptic number.

134283136 is a gapful number since it is divisible by the number (16) 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 134283136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157308480).

134283136 is an abundant number, since it is smaller than the sum of its proper divisors (180333824).

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

134283136 is a wasteful number, since it uses less digits than its factorization.

134283136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 180 counting only the distinct ones).

The product of its digits is 10368, while the sum is 31.

The square root of 134283136 is about 11588.0600619776. The cubic root of 134283136 is about 512.0831570661.

The spelling of 134283136 in words is "one hundred thirty-four million, two hundred eighty-three thousand, one hundred thirty-six".

Divisors: 1 2 4 8 13 16 17 26 32 34 47 52 64 68 94 101 104 128 136 188 202 208 221 272 376 404 416 442 544 611 752 799 808 832 884 1088 1222 1313 1504 1598 1616 1664 1717 1768 2176 2444 2626 3008 3196 3232 3434 3536 4747 4888 5252 6016 6392 6464 6868 7072 9494 9776 10387 10504 12784 12928 13736 14144 18988 19552 20774 21008 22321 25568 27472 28288 37976 39104 41548 42016 44642 51136 54944 61711 75952 78208 80699 83096 84032 89284 102272 109888 123422 151904 161398 166192 168064 178568 219776 246844 303808 322796 332384 357136 493688 607616 645592 664768 714272 987376 1049087 1291184 1329536 1428544 1974752 2098174 2582368 2857088 3949504 4196348 5164736 7899008 8392696 10329472 16785392 33570784 67141568 134283136