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136360128 = 2631741777
BaseRepresentation
bin10000010000010…
…11000011000000
3100111120210221010
420020023003000
5234402011003
621310400520
73244020252
oct1010130300
9314523833
10136360128
116aa76423
1239800140
1322334688
1414177cd2
15be88003
hex820b0c0

136360128 has 56 divisors (see below), whose sum is σ = 382018032. Its totient is φ = 42778624.

The previous prime is 136360099. The next prime is 136360139. The reversal of 136360128 is 821063631.

It is a plaindrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 136360095 and 136360104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17625 + ... + 24152.

Almost surely, 2136360128 is an apocalyptic number.

It is an amenable number.

136360128 is an abundant number, since it is smaller than the sum of its proper divisors (245657904).

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

136360128 is a wasteful number, since it uses less digits than its factorization.

136360128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41809 (or 41799 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 136360128 is about 11677.3339423004. Note that the first 3 decimals coincide. The cubic root of 136360128 is about 514.7098349728.

The spelling of 136360128 in words is "one hundred thirty-six million, three hundred sixty thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 136 192 204 272 408 544 816 1088 1632 3264 41777 83554 125331 167108 250662 334216 501324 668432 710209 1002648 1336864 1420418 2005296 2130627 2673728 2840836 4010592 4261254 5681672 8021184 8522508 11363344 17045016 22726688 34090032 45453376 68180064 136360128