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136516744 = 2373134389
BaseRepresentation
bin10000010001100…
…01010010001000
3100111212202202201
420020301102020
5234422013434
621314005544
73245242000
oct1010612210
9314782681
10136516744
1170073061
12398768b4
132238aa50
14141b9000
15beb9614
hex8231488

136516744 has 128 divisors (see below), whose sum is σ = 332640000. Its totient is φ = 52157952.

The previous prime is 136516727. The next prime is 136516759. The reversal of 136516744 is 447615631.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1533852 + ... + 1533940.

It is an arithmetic number, because the mean of its divisors is an integer number (2598750).

Almost surely, 2136516744 is an apocalyptic number.

136516744 is a gapful number since it is divisible by the number (14) 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 136516744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166320000).

136516744 is an abundant number, since it is smaller than the sum of its proper divisors (196123256).

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

136516744 is a wasteful number, since it uses less digits than its factorization.

136516744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 154 counting only the distinct ones).

The product of its digits is 60480, while the sum is 37.

The square root of 136516744 is about 11684.0380006229. The cubic root of 136516744 is about 514.9068157038.

The spelling of 136516744 in words is "one hundred thirty-six million, five hundred sixteen thousand, seven hundred forty-four".

Divisors: 1 2 4 7 8 13 14 26 28 43 49 52 56 86 89 91 98 104 172 178 182 196 301 343 344 356 364 392 559 602 623 637 686 712 728 1118 1157 1204 1246 1274 1372 2107 2236 2314 2408 2492 2548 2744 3827 3913 4214 4361 4459 4472 4628 4984 5096 7654 7826 8099 8428 8722 8918 9256 14749 15308 15652 16198 16856 17444 17836 26789 27391 29498 30527 30616 31304 32396 34888 35672 49751 53578 54782 56693 58996 61054 64792 99502 107156 109564 113386 117992 122108 187523 191737 199004 214312 219128 226772 244216 348257 375046 383474 396851 398008 453544 696514 750092 766948 793702 1312661 1393028 1500184 1533896 1587404 2437799 2625322 2786056 3174808 4875598 5250644 9751196 10501288 17064593 19502392 34129186 68258372 136516744