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136163456 = 27111343173
BaseRepresentation
bin10000001110110…
…11000010000000
3100111012211010222
420013123002000
5234324212311
621302242212
73242241002
oct1007330200
9314184128
10136163456
116a951690
1239726368
1322295cc0
1414126372
15be49adb
hex81db080

136163456 has 128 divisors (see below), whose sum is σ = 327983040. Its totient is φ = 55480320.

The previous prime is 136163429. The next prime is 136163471. The reversal of 136163456 is 654361631.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 786986 + ... + 787158.

Almost surely, 2136163456 is an apocalyptic number.

136163456 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 136163456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163991520).

136163456 is an abundant number, since it is smaller than the sum of its proper divisors (191819584).

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

136163456 is a wasteful number, since it uses less digits than its factorization.

136163456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 242 counting only the distinct ones).

The product of its digits is 38880, while the sum is 35.

The square root of 136163456 is about 11668.9098034049. The cubic root of 136163456 is about 514.4622608452.

The spelling of 136163456 in words is "one hundred thirty-six million, one hundred sixty-three thousand, four hundred fifty-six".

Divisors: 1 2 4 8 11 13 16 22 26 32 43 44 52 64 86 88 104 128 143 172 173 176 208 286 344 346 352 416 473 559 572 688 692 704 832 946 1118 1144 1376 1384 1408 1664 1892 1903 2236 2249 2288 2752 2768 3784 3806 4472 4498 4576 5504 5536 6149 7439 7568 7612 8944 8996 9152 11072 12298 14878 15136 15224 17888 17992 18304 22144 24596 24739 29756 30272 30448 35776 35984 49192 49478 59512 60544 60896 71552 71968 81829 96707 98384 98956 119024 121792 143936 163658 193414 196768 197912 238048 243584 287872 327316 386828 393536 395824 476096 654632 773656 787072 791648 952192 1063777 1309264 1547312 1583296 2127554 2618528 3094624 3166592 4255108 5237056 6189248 8510216 10474112 12378496 17020432 34040864 68081728 136163456