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136136128 = 2631591163
BaseRepresentation
bin10000001110101…
…00010111000000
3100111011102122211
420013110113000
5234322324003
621301511504
73242065222
oct1007242700
9314142584
10136136128
116a9330a7
1239712594
132228672b
141411a412
15be4196d
hex81d45c0

136136128 has 56 divisors (see below), whose sum is σ = 283829760. Its totient is φ = 64700160.

The previous prime is 136136101. The next prime is 136136141. The reversal of 136136128 is 821631631.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a self number, because there is not a number n which added to its sum of digits gives 136136128.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 116475 + ... + 117637.

Almost surely, 2136136128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136136128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141914880).

136136128 is an abundant number, since it is smaller than the sum of its proper divisors (147693632).

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

136136128 is a wasteful number, since it uses less digits than its factorization.

136136128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1265 (or 1255 counting only the distinct ones).

The product of its digits is 5184, while the sum is 31.

The square root of 136136128 is about 11667.7387697874. The cubic root of 136136128 is about 514.4278410243.

Adding to 136136128 its reverse (821631631), we get a palindrome (957767759).

The spelling of 136136128 in words is "one hundred thirty-six million, one hundred thirty-six thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 31 32 59 62 64 118 124 236 248 472 496 944 992 1163 1829 1888 1984 2326 3658 3776 4652 7316 9304 14632 18608 29264 36053 37216 58528 68617 72106 74432 117056 137234 144212 274468 288424 548936 576848 1097872 1153696 2127127 2195744 2307392 4254254 4391488 8508508 17017016 34034032 68068064 136136128