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136083136 = 267893413
BaseRepresentation
bin10000001110001…
…11011011000000
3100111001201222011
420013013123000
5234314130021
621300422304
73241454560
oct1007073300
9314051864
10136083136
116a8a7302
12396a7994
1322268587
1414104da0
15be30de1
hex81c76c0

136083136 has 56 divisors (see below), whose sum is σ = 312176160. Its totient is φ = 57649152.

The previous prime is 136083133. The next prime is 136083137. The reversal of 136083136 is 631380631.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 136083098 and 136083107.

It is not an unprimeable number, because it can be changed into a prime (136083133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38166 + ... + 41578.

Almost surely, 2136083136 is an apocalyptic number.

136083136 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 136083136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156088080).

136083136 is an abundant number, since it is smaller than the sum of its proper divisors (176093024).

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

136083136 is an equidigital number, since it uses as much as digits as its factorization.

136083136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3521 (or 3511 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 31.

The square root of 136083136 is about 11665.4676717224. The cubic root of 136083136 is about 514.3610840744.

The spelling of 136083136 in words is "one hundred thirty-six million, eighty-three thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 89 112 178 224 356 448 623 712 1246 1424 2492 2848 3413 4984 5696 6826 9968 13652 19936 23891 27304 39872 47782 54608 95564 109216 191128 218432 303757 382256 607514 764512 1215028 1529024 2126299 2430056 4252598 4860112 8505196 9720224 17010392 19440448 34020784 68041568 136083136