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136107648 = 273339383
BaseRepresentation
bin10000001110011…
…01011010000000
3100111002222121000
420013031122000
5234320421043
621301132000
73241616205
oct1007153200
9314088530
10136107648
116a913766
12396ba000
1322276791
141410dcac
15be382d3
hex81cd680

136107648 has 64 divisors (see below), whose sum is σ = 401716800. Its totient is φ = 45368064.

The previous prime is 136107641. The next prime is 136107677. The reversal of 136107648 is 846701631.

136107648 is a `hidden beast` number, since 1 + 3 + 6 + 1 + 0 + 7 + 648 = 666.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (136107641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16236 + ... + 23147.

It is an arithmetic number, because the mean of its divisors is an integer number (6276825).

Almost surely, 2136107648 is an apocalyptic number.

136107648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

136107648 is an abundant number, since it is smaller than the sum of its proper divisors (265609152).

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

136107648 is an equidigital number, since it uses as much as digits as its factorization.

136107648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39406 (or 39388 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 136107648 is about 11666.5182466750. The cubic root of 136107648 is about 514.3919653487.

The spelling of 136107648 in words is "one hundred thirty-six million, one hundred seven thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 39383 78766 118149 157532 236298 315064 354447 472596 630128 708894 945192 1063341 1260256 1417788 1890384 2126682 2520512 2835576 3780768 4253364 5041024 5671152 7561536 8506728 11342304 15123072 17013456 22684608 34026912 45369216 68053824 136107648