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134209536 = 213343127
BaseRepresentation
bin1111111111111…
…10000000000000
3100100112112212120
413333332000000
5233324201121
621152324240
73216522306
oct777760000
9310475776
10134209536
116983767a
1238b43680
1321a60836
1413b78276
15bbb0bc6
hex7ffe000

134209536 has 112 divisors (see below), whose sum is σ = 369076224. Its totient is φ = 43352064.

The previous prime is 134209519. The next prime is 134209549. The reversal of 134209536 is 635902431.

134209536 is a nontrivial binomial coefficient, being equal to C(16384, 2).

It is a nialpdrome in base 2 and base 8.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 134209497 and 134209506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1056705 + ... + 1056831.

Almost surely, 2134209536 is an apocalyptic number.

134209536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

134209536 is the 16383-rd triangular number and also the 8192-nd hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134209536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184538112).

134209536 is an abundant number, since it is smaller than the sum of its proper divisors (234866688).

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

134209536 is an equidigital number, since it uses as much as digits as its factorization.

134209536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The square root of 134209536 is about 11584.8839441748. The cubic root of 134209536 is about 511.9895831214.

The spelling of 134209536 in words is "one hundred thirty-four million, two hundred nine thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 127 128 129 172 192 254 256 258 344 381 384 508 512 516 688 762 768 1016 1024 1032 1376 1524 1536 2032 2048 2064 2752 3048 3072 4064 4096 4128 5461 5504 6096 6144 8128 8192 8256 10922 11008 12192 12288 16256 16383 16512 21844 22016 24384 24576 32512 32766 33024 43688 44032 48768 65024 65532 66048 87376 88064 97536 130048 131064 132096 174752 176128 195072 260096 262128 264192 349504 352256 390144 520192 524256 528384 699008 780288 1040384 1048512 1056768 1398016 1560576 2097024 2796032 3121152 4194048 5592064 8388096 11184128 16776192 22368256 33552384 44736512 67104768 134209536