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136275552 = 25327232939
BaseRepresentation
bin10000001111101…
…10011001100000
3100111102111220200
420013312121200
5234341304202
621304505200
73243215550
oct1007663140
9314374820
10136275552
116aa18926
123977b200
132230502a
1414155160
15be6ce1c
hex81f6660

136275552 has 144 divisors (see below), whose sum is σ = 462309120. Its totient is φ = 37230336.

The previous prime is 136275533. The next prime is 136275571. The reversal of 136275552 is 255572631.

136275552 is a `hidden beast` number, since 1 + 36 + 2 + 75 + 552 = 666.

It is an interprime number because it is at equal distance from previous prime (136275533) and next prime (136275571).

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44899 + ... + 47837.

It is an arithmetic number, because the mean of its divisors is an integer number (3210480).

Almost surely, 2136275552 is an apocalyptic number.

136275552 is a gapful number since it is divisible by the number (12) 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 136275552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231154560).

136275552 is an abundant number, since it is smaller than the sum of its proper divisors (326033568).

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

136275552 is a wasteful number, since it uses less digits than its factorization.

136275552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2985 (or 2974 counting only the distinct ones).

The product of its digits is 63000, while the sum is 36.

The square root of 136275552 is about 11673.7120060416. The cubic root of 136275552 is about 514.6033984290.

The spelling of 136275552 in words is "one hundred thirty-six million, two hundred seventy-five thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 23 24 28 32 36 42 46 48 56 63 69 72 84 92 96 112 126 138 144 161 168 184 207 224 252 276 288 322 336 368 414 483 504 552 644 672 736 828 966 1008 1104 1288 1449 1656 1932 2016 2208 2576 2898 2939 3312 3864 5152 5796 5878 6624 7728 8817 11592 11756 15456 17634 20573 23184 23512 26451 35268 41146 46368 47024 52902 61719 67597 70536 82292 94048 105804 123438 135194 141072 164584 185157 202791 211608 246876 270388 282144 329168 370314 405582 423216 473179 493752 540776 608373 658336 740628 811164 846432 946358 987504 1081552 1216746 1419537 1481256 1622328 1892716 1975008 2163104 2433492 2839074 2962512 3244656 3785432 4258611 4866984 5678148 5925024 6489312 7570864 8517222 9733968 11356296 15141728 17034444 19467936 22712592 34068888 45425184 68137776 136275552