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135556668 = 2232131631777
BaseRepresentation
bin10000001010001…
…10111000111100
3100110001222210100
420011012320330
5234200303133
621241241100
73234132642
oct1005067074
9313058710
10135556668
116a577805
1239493190
1322112a60
1414009192
15bd79e13
hex8146e3c

135556668 has 72 divisors (see below), whose sum is σ = 371488208. Its totient is φ = 41430528.

The previous prime is 135556661. The next prime is 135556699. The reversal of 135556668 is 866655531.

It is a super-2 number, since 2×1355566682 = 36751220478524448, which contains 22 as substring.

It is a plaindrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135556661) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75396 + ... + 77172.

Almost surely, 2135556668 is an apocalyptic number.

135556668 is a gapful number since it is divisible by the number (18) 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 135556668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185744104).

135556668 is an abundant number, since it is smaller than the sum of its proper divisors (235931540).

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

135556668 is a wasteful number, since it uses less digits than its factorization.

135556668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1963 (or 1958 counting only the distinct ones).

The product of its digits is 648000, while the sum is 45.

The square root of 135556668 is about 11642.8805714050. The cubic root of 135556668 is about 513.6969199427.

The spelling of 135556668 in words is "one hundred thirty-five million, five hundred fifty-six thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 163 234 326 468 489 652 978 1467 1777 1956 2119 2934 3554 4238 5331 5868 6357 7108 8476 10662 12714 15993 19071 21324 23101 25428 31986 38142 46202 63972 69303 76284 92404 138606 207909 277212 289651 415818 579302 831636 868953 1158604 1737906 2606859 3475812 3765463 5213718 7530926 10427436 11296389 15061852 22592778 33889167 45185556 67778334 135556668