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136080648 = 233411171123
BaseRepresentation
bin10000001110001…
…10110100001000
3100111001121120000
420013012310020
5234314040043
621300403000
73241444404
oct1007066410
9314047500
10136080648
116a8a5450
12396a6460
13222673c2
1414104104
15be302d3
hex81c6d08

136080648 has 160 divisors (see below), whose sum is σ = 440652960. Its totient is φ = 38776320.

The previous prime is 136080643. The next prime is 136080649. The reversal of 136080648 is 846080631.

It is a happy number.

136080648 is a `hidden beast` number, since 1 + 3 + 6 + 0 + 8 + 0 + 648 = 666.

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 (136080643) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 120615 + ... + 121737.

It is an arithmetic number, because the mean of its divisors is an integer number (2754081).

Almost surely, 2136080648 is an apocalyptic number.

136080648 is a gapful number since it is divisible by the number (18) 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 136080648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220326480).

136080648 is an abundant number, since it is smaller than the sum of its proper divisors (304572312).

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

136080648 is a wasteful number, since it uses less digits than its factorization.

136080648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1169 (or 1156 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 136080648 is about 11665.3610317041. The cubic root of 136080648 is about 514.3579493774.

The spelling of 136080648 in words is "one hundred thirty-six million, eighty thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 17 18 22 24 27 33 34 36 44 51 54 66 68 72 81 88 99 102 108 132 136 153 162 187 198 204 216 264 297 306 324 374 396 408 459 561 594 612 648 748 792 891 918 1122 1123 1188 1224 1377 1496 1683 1782 1836 2244 2246 2376 2754 3366 3369 3564 3672 4488 4492 5049 5508 6732 6738 7128 8984 10098 10107 11016 12353 13464 13476 15147 19091 20196 20214 24706 26952 30294 30321 37059 38182 40392 40428 49412 57273 60588 60642 74118 76364 80856 90963 98824 111177 114546 121176 121284 148236 152728 171819 181926 210001 222354 229092 242568 296472 333531 343638 363852 420002 444708 458184 515457 630003 667062 687276 727704 840004 889416 1000593 1030914 1260006 1334124 1374552 1546371 1680008 1890009 2001186 2061828 2520012 2668248 3092742 3780018 4002372 4123656 5040024 5670027 6185484 7560036 8004744 11340054 12370968 15120072 17010081 22680108 34020162 45360216 68040324 136080648