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136165248 = 2732196221
BaseRepresentation
bin10000001110110…
…11011110000000
3100111012220121100
420013123132000
5234324241443
621302254400
73242246142
oct1007333600
9314186540
10136165248
116a952a6a
1239727400
1322296a6b
1414126c92
15be4a3d3
hex81db780

136165248 has 96 divisors (see below), whose sum is σ = 412518600. Its totient is φ = 42992640.

The previous prime is 136165247. The next prime is 136165273. The reversal of 136165248 is 842561631.

It is a happy number.

136165248 is a `hidden beast` number, since 13 + 616 + 5 + 24 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136165247) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18778 + ... + 24998.

Almost surely, 2136165248 is an apocalyptic number.

136165248 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 136165248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206259300).

136165248 is an abundant number, since it is smaller than the sum of its proper divisors (276353352).

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

136165248 is a wasteful number, since it uses less digits than its factorization.

136165248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6260 (or 6245 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 136165248 is about 11668.9865883889. The cubic root of 136165248 is about 514.4645177218.

The spelling of 136165248 in words is "one hundred thirty-six million, one hundred sixty-five thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 128 144 152 171 192 228 288 304 342 384 456 576 608 684 912 1152 1216 1368 1824 2432 2736 3648 5472 6221 7296 10944 12442 18663 21888 24884 37326 49768 55989 74652 99536 111978 118199 149304 199072 223956 236398 298608 354597 398144 447912 472796 597216 709194 796288 895824 945592 1063791 1194432 1418388 1791648 1891184 2127582 2388864 2836776 3583296 3782368 4255164 5673552 7166592 7564736 8510328 11347104 15129472 17020656 22694208 34041312 45388416 68082624 136165248