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136405332 = 223271931919
BaseRepresentation
bin10000010000101…
…10000101010100
3100111200002221100
420020112011110
5234404432312
621311350100
73244266120
oct1010260524
9314602840
10136405332
116aaa7388
1239822330
132234c11b
141418a580
15be965dc
hex8216154

136405332 has 144 divisors (see below), whose sum is σ = 428646400. Its totient is φ = 35691840.

The previous prime is 136405289. The next prime is 136405337. The reversal of 136405332 is 233504631.

It is a happy number.

136405332 is a `hidden beast` number, since 13 + 640 + 5 + 3 + 3 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 136405296 and 136405305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136405337) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 147969 + ... + 148887.

Almost surely, 2136405332 is an apocalyptic number.

136405332 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 136405332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214323200).

136405332 is an abundant number, since it is smaller than the sum of its proper divisors (292241068).

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

136405332 is a wasteful number, since it uses less digits than its factorization.

136405332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 986 (or 981 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 136405332 is about 11679.2693264605. The cubic root of 136405332 is about 514.7667049029.

Adding to 136405332 its reverse (233504631), we get a palindrome (369909963).

The spelling of 136405332 in words is "one hundred thirty-six million, four hundred five thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 31 36 38 42 57 62 63 76 84 93 114 124 126 133 171 186 217 228 252 266 279 342 372 399 434 532 558 589 651 684 798 868 919 1116 1178 1197 1302 1596 1767 1838 1953 2356 2394 2604 2757 3534 3676 3906 4123 4788 5301 5514 6433 7068 7812 8246 8271 10602 11028 12369 12866 16492 16542 17461 19299 21204 24738 25732 28489 33084 34922 37107 38598 49476 52383 56978 57897 69844 74214 77196 85467 104766 113956 115794 122227 148428 157149 170934 199423 209532 231588 244454 256401 314298 341868 366681 398846 488908 512802 541291 598269 628596 733362 797692 1025604 1082582 1100043 1196538 1466724 1623873 1794807 2165164 2200086 2393076 3247746 3589614 3789037 4400172 4871619 6495492 7179228 7578074 9743238 11367111 15156148 19486476 22734222 34101333 45468444 68202666 136405332