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136581876 = 223417137181
BaseRepresentation
bin10000010010000…
…01001011110100
3100112000002010000
420021001023310
5234431110001
621315231300
73245632614
oct1011011364
9315002100
10136581876
1170107a92
12398a8530
13223b15a2
14141d4a44
15becda86
hex82412f4

136581876 has 120 divisors (see below), whose sum is σ = 382918536. Its totient is φ = 42301440.

The previous prime is 136581847. The next prime is 136581883. The reversal of 136581876 is 678185631.

It can be written as a sum of positive squares in 4 ways, for example, as 7986276 + 128595600 = 2826^2 + 11340^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 754506 + ... + 754686.

Almost surely, 2136581876 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136581876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191459268).

136581876 is an abundant number, since it is smaller than the sum of its proper divisors (246336660).

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

136581876 is a wasteful number, since it uses less digits than its factorization.

136581876 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 340 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 136581876 is about 11686.8248895926. The cubic root of 136581876 is about 514.9886898575.

The spelling of 136581876 in words is "one hundred thirty-six million, five hundred eighty-one thousand, eight hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 137 153 162 181 204 274 306 324 362 411 459 543 548 612 724 822 918 1086 1233 1377 1629 1644 1836 2172 2329 2466 2754 3077 3258 3699 4658 4887 4932 5508 6154 6516 6987 7398 9231 9316 9774 11097 12308 13974 14661 14796 18462 19548 20961 22194 24797 27693 27948 29322 36924 41922 44388 49594 55386 58644 62883 74391 83079 83844 99188 110772 125766 148782 166158 188649 223173 249237 251532 297564 332316 377298 421549 446346 498474 669519 754596 843098 892692 996948 1264647 1339038 1686196 2008557 2529294 2678076 3793941 4017114 5058588 7587882 8034228 11381823 15175764 22763646 34145469 45527292 68290938 136581876