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136395441 = 33713431291
BaseRepresentation
bin10000010000100…
…11101010110001
3100111122121101000
420020103222301
5234404123231
621311232213
73244225230
oct1010235261
9314577330
10136395441
116aa9aa06
1239818669
1322347780
1414186b17
15be936e6
hex8213ab1

136395441 has 64 divisors (see below), whose sum is σ = 254679040. Its totient is φ = 70217280.

The previous prime is 136395379. The next prime is 136395481. The reversal of 136395441 is 144593631.

136395441 is a `hidden beast` number, since 13 + 639 + 5 + 4 + 4 + 1 = 666.

It is not a de Polignac number, because 136395441 - 211 = 136393393 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 136395396 and 136395405.

It is not an unprimeable number, because it can be changed into a prime (136395481) 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 63 ways as a sum of consecutive naturals, for example, 105006 + ... + 106296.

It is an arithmetic number, because the mean of its divisors is an integer number (3979360).

Almost surely, 2136395441 is an apocalyptic number.

It is an amenable number.

136395441 is a deficient number, since it is larger than the sum of its proper divisors (118283599).

136395441 is a wasteful number, since it uses less digits than its factorization.

136395441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1363 (or 1357 counting only the distinct ones).

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

The square root of 136395441 is about 11678.8458761986. The cubic root of 136395441 is about 514.7542623772.

The spelling of 136395441 in words is "one hundred thirty-six million, three hundred ninety-five thousand, four hundred forty-one".

Divisors: 1 3 7 9 13 21 27 39 43 63 91 117 129 189 273 301 351 387 559 819 903 1161 1291 1677 2457 2709 3873 3913 5031 8127 9037 11619 11739 15093 16783 27111 34857 35217 50349 55513 81333 105651 117481 151047 166539 243999 352443 388591 453141 499617 721669 1057329 1165773 1498851 2165007 3171987 3497319 5051683 6495021 10491957 15155049 19485063 45465147 136395441