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136689192 = 233219163613
BaseRepresentation
bin10000010010110…
…11011000101000
3100112012112022200
420021123120220
5234443023232
621321420200
73246560523
oct1011333050
9315175280
10136689192
1170180682
123993a660
132241b3a3
1414221bba
15c00077c
hex825b628

136689192 has 96 divisors (see below), whose sum is σ = 392714400. Its totient is φ = 42830208.

The previous prime is 136689191. The next prime is 136689193. The reversal of 136689192 is 291986631.

It is a happy number.

136689192 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (136689191) and next prime (136689193).

It is a super-2 number, since 2×1366891922 = 37367870419225728, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (136689191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 222678 + ... + 223290.

It is an arithmetic number, because the mean of its divisors is an integer number (4090775).

Almost surely, 2136689192 is an apocalyptic number.

136689192 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 136689192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196357200).

136689192 is an abundant number, since it is smaller than the sum of its proper divisors (256025208).

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

136689192 is a wasteful number, since it uses less digits than its factorization.

136689192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807 (or 800 counting only the distinct ones).

The product of its digits is 139968, while the sum is 45.

The square root of 136689192 is about 11691.4153120997. The cubic root of 136689192 is about 515.1235346343.

The spelling of 136689192 in words is "one hundred thirty-six million, six hundred eighty-nine thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 163 171 228 326 342 456 489 613 652 684 978 1226 1304 1368 1467 1839 1956 2452 2934 3097 3678 3912 4904 5517 5868 6194 7356 9291 11034 11647 11736 12388 14712 18582 22068 23294 24776 27873 34941 37164 44136 46588 55746 69882 74328 93176 99919 104823 111492 139764 199838 209646 222984 279528 299757 399676 419292 599514 799352 838584 899271 1199028 1798542 1898461 2398056 3597084 3796922 5695383 7194168 7593844 11390766 15187688 17086149 22781532 34172298 45563064 68344596 136689192