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134256528 = 243574933
BaseRepresentation
bin10000000000010…
…01011110010000
3100100121221100000
420000021132100
5233332202103
621153330000
73220106310
oct1000113620
9310557300
10134256528
1169869a0a
1238b66900
1321a79043
1413b8b440
15bbbeaa3
hex8009790

134256528 has 120 divisors (see below), whose sum is σ = 445402048. Its totient is φ = 38351232.

The previous prime is 134256511. The next prime is 134256539. The reversal of 134256528 is 825652431.

It is a super-3 number, since 3×1342565283 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 134256492 and 134256501.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24750 + ... + 29682.

Almost surely, 2134256528 is an apocalyptic number.

134256528 is a gapful number since it is divisible by the number (18) 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 134256528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222701024).

134256528 is an abundant number, since it is smaller than the sum of its proper divisors (311145520).

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

134256528 is an equidigital number, since it uses as much as digits as its factorization.

134256528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4963 (or 4945 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 134256528 is about 11586.9119268250. The cubic root of 134256528 is about 512.0493319979.

The spelling of 134256528 in words is "one hundred thirty-four million, two hundred fifty-six thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 144 162 168 189 216 243 252 324 336 378 432 486 504 567 648 756 972 1008 1134 1296 1512 1701 1944 2268 3024 3402 3888 4536 4933 6804 9072 9866 13608 14799 19732 27216 29598 34531 39464 44397 59196 69062 78928 88794 103593 118392 133191 138124 177588 207186 236784 266382 276248 310779 355176 399573 414372 532764 552496 621558 710352 799146 828744 932337 1065528 1198719 1243116 1598292 1657488 1864674 2131056 2397438 2486232 2797011 3196584 3729348 4794876 4972464 5594022 6393168 7458696 8391033 9589752 11188044 14917392 16782066 19179504 22376088 33564132 44752176 67128264 134256528