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136151136 = 25321123907
BaseRepresentation
bin10000001110110…
…00000001100000
3100111012012020200
420013120001200
5234323314021
621302105200
73242160042
oct1007300140
9314165220
10136151136
116a943400
123971b200
1322290504
1414121a92
15be46126
hex81d8060

136151136 has 108 divisors (see below), whose sum is σ = 425686716. Its totient is φ = 41247360.

The previous prime is 136151111. The next prime is 136151179. The reversal of 136151136 is 631151631.

136151136 is a `hidden beast` number, since 1 + 3 + 615 + 11 + 36 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 32895 + ... + 36801.

Almost surely, 2136151136 is an apocalyptic number.

136151136 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 136151136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212843358).

136151136 is an abundant number, since it is smaller than the sum of its proper divisors (289535580).

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

136151136 is a wasteful number, since it uses less digits than its factorization.

136151136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3945 (or 3923 counting only the distinct ones).

The product of its digits is 1620, while the sum is 27.

The square root of 136151136 is about 11668.3818929619. The cubic root of 136151136 is about 514.4467442830.

The spelling of 136151136 in words is "one hundred thirty-six million, one hundred fifty-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 121 132 144 176 198 242 264 288 352 363 396 484 528 726 792 968 1056 1089 1452 1584 1936 2178 2904 3168 3872 3907 4356 5808 7814 8712 11616 11721 15628 17424 23442 31256 34848 35163 42977 46884 62512 70326 85954 93768 125024 128931 140652 171908 187536 257862 281304 343816 375072 386793 472747 515724 562608 687632 773586 945494 1031448 1125216 1375264 1418241 1547172 1890988 2062896 2836482 3094344 3781976 4125792 4254723 5672964 6188688 7563952 8509446 11345928 12377376 15127904 17018892 22691856 34037784 45383712 68075568 136151136