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136286688 = 2531737261
BaseRepresentation
bin10000001111110…
…01000111100000
3100111110002012010
420013321013200
5234342133223
621305032520
73243263166
oct1007710740
9314402163
10136286688
116aa2622a
1239785740
132230a115
1414159236
15be71393
hex81f91e0

136286688 has 144 divisors (see below), whose sum is σ = 395693424. Its totient is φ = 40919040.

The previous prime is 136286687. The next prime is 136286719. The reversal of 136286688 is 886682631.

It is a super-2 number, since 2×1362866882 = 37148122652018688, which contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136286687) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2234178 + ... + 2234238.

It is an arithmetic number, because the mean of its divisors is an integer number (2747871).

Almost surely, 2136286688 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 136286688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197846712).

136286688 is an abundant number, since it is smaller than the sum of its proper divisors (259406736).

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

136286688 is a wasteful number, since it uses less digits than its factorization.

136286688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 120 counting only the distinct ones).

The product of its digits is 663552, while the sum is 48.

The square root of 136286688 is about 11674.1889654057. The cubic root of 136286688 is about 514.6174152923.

The spelling of 136286688 in words is "one hundred thirty-six million, two hundred eighty-six thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 37 48 51 61 68 74 96 102 111 122 136 148 183 204 222 244 272 296 366 408 444 488 544 592 629 732 816 888 976 1037 1184 1258 1369 1464 1632 1776 1887 1952 2074 2257 2516 2738 2928 3111 3552 3774 4107 4148 4514 5032 5476 5856 6222 6771 7548 8214 8296 9028 10064 10952 12444 13542 15096 16428 16592 18056 20128 21904 23273 24888 27084 30192 32856 33184 36112 38369 43808 46546 49776 54168 60384 65712 69819 72224 76738 83509 93092 99552 108336 115107 131424 139638 153476 167018 186184 216672 230214 250527 279276 306952 334036 372368 460428 501054 558552 613904 668072 744736 920856 1002108 1117104 1227808 1336144 1419653 1841712 2004216 2234208 2672288 2839306 3683424 4008432 4258959 5678612 8016864 8517918 11357224 17035836 22714448 34071672 45428896 68143344 136286688