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136007361 = 32717292151
BaseRepresentation
bin10000001101101…
…00111011000001
3100110220220000200
420012310323001
5234304213421
621255035413
73241020630
oct1006647301
9313826020
10136007361
116a855386
123966bb69
132223cc39
14140c5517
15be18726
hex81b4ec1

136007361 has 72 divisors (see below), whose sum is σ = 247837824. Its totient is φ = 70156800.

The previous prime is 136007359. The next prime is 136007383. The reversal of 136007361 is 163700631.

It is not a de Polignac number, because 136007361 - 21 = 136007359 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (136007321) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 900636 + ... + 900786.

It is an arithmetic number, because the mean of its divisors is an integer number (3442192).

Almost surely, 2136007361 is an apocalyptic number.

It is an amenable number.

136007361 is a deficient number, since it is larger than the sum of its proper divisors (111830463).

136007361 is a wasteful number, since it uses less digits than its factorization.

136007361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 136007361 is about 11662.2193856916. The cubic root of 136007361 is about 514.2655960053.

Adding to 136007361 its reverse (163700631), we get a palindrome (299707992).

The spelling of 136007361 in words is "one hundred thirty-six million, seven thousand, three hundred sixty-one".

Divisors: 1 3 7 9 17 21 29 51 63 87 119 151 153 203 261 357 453 493 609 841 1057 1071 1359 1479 1827 2523 2567 3171 3451 4379 4437 5887 7569 7701 9513 10353 13137 14297 17661 17969 23103 30653 31059 39411 42891 52983 53907 74443 91959 100079 126991 128673 161721 223329 275877 300237 380973 521101 669987 888937 900711 1142919 1563303 2158847 2666811 4689909 6476541 8000433 15111929 19429623 45335787 136007361