Search a number
-
+
136526229 = 3471922329
BaseRepresentation
bin10000010001100…
…11100110010101
3100111220020210000
420020303212111
5234422314404
621314121513
73245311440
oct1010634625
9314806700
10136526229
117007a1a4
1239880299
1322392168
14141bc657
15bebc339
hex8233995

136526229 has 120 divisors (see below), whose sum is σ = 265541760. Its totient is φ = 68257728.

The previous prime is 136526207. The next prime is 136526231. The reversal of 136526229 is 922625631.

It is not a de Polignac number, because 136526229 - 29 = 136525717 is a prime.

It is a super-2 number, since 2×1365262292 = 37278822409920882, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (38880) is a multiple of the sum of its prime divisors (81).

It is a junction number, because it is equal to n+sod(n) for n = 136526193 and 136526202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136526249) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4707787 + ... + 4707815.

It is an arithmetic number, because the mean of its divisors is an integer number (2212848).

Almost surely, 2136526229 is an apocalyptic number.

136526229 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

136526229 is a deficient number, since it is larger than the sum of its proper divisors (129015531).

136526229 is a wasteful number, since it uses less digits than its factorization.

136526229 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 81 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 136526229 is about 11684.4438892059. The cubic root of 136526229 is about 514.9187404389.

It can be divided in two parts, 13652 and 6229, that added together give a square (19881 = 1412).

The spelling of 136526229 in words is "one hundred thirty-six million, five hundred twenty-six thousand, two hundred twenty-nine".

Divisors: 1 3 7 9 19 21 23 27 29 57 63 69 81 87 133 161 171 189 203 207 261 361 399 437 483 513 551 567 609 621 667 783 1083 1197 1311 1449 1539 1653 1827 1863 2001 2349 2527 3059 3249 3591 3857 3933 4347 4669 4959 5481 6003 7581 8303 9177 9747 10469 10773 11571 11799 12673 13041 14007 14877 16443 18009 22743 24909 27531 29241 31407 34713 35397 38019 42021 44631 54027 58121 68229 73283 74727 82593 88711 94221 104139 114057 126063 174363 204687 219849 224181 240787 247779 266133 282663 312417 342171 378189 523089 659547 672543 722361 798399 847989 1026513 1569267 1685509 1978641 2167083 2395197 4707801 5056527 5935923 6501249 7185591 15169581 19503747 45508743 136526229