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135149868 = 223272711979
BaseRepresentation
bin10000000111000…
…11100100101100
3100102022022202200
420003203210230
5234044243433
621224421500
73230516640
oct1003434454
9312268680
10135149868
116a31a107
1239317890
1321ccc849
1413d40c20
15bce9613
hex80e392c

135149868 has 72 divisors (see below), whose sum is σ = 392071680. Its totient is φ = 38452320.

The previous prime is 135149867. The next prime is 135149879. The reversal of 135149868 is 868941531.

It is not an unprimeable number, because it can be changed into a prime (135149867) 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 23 ways as a sum of consecutive naturals, for example, 67303 + ... + 69281.

It is an arithmetic number, because the mean of its divisors is an integer number (5445440).

Almost surely, 2135149868 is an apocalyptic number.

135149868 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 135149868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196035840).

135149868 is an abundant number, since it is smaller than the sum of its proper divisors (256921812).

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

135149868 is a wasteful number, since it uses less digits than its factorization.

135149868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2267 (or 2262 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The square root of 135149868 is about 11625.3975415897. The cubic root of 135149868 is about 513.1825439305.

The spelling of 135149868 in words is "one hundred thirty-five million, one hundred forty-nine thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 271 542 813 1084 1626 1897 1979 2439 3252 3794 3958 4878 5691 5937 7588 7916 9756 11382 11874 13853 17073 17811 22764 23748 27706 34146 35622 41559 55412 68292 71244 83118 124677 166236 249354 498708 536309 1072618 1608927 2145236 3217854 3754163 4826781 6435708 7508326 9653562 11262489 15016652 19307124 22524978 33787467 45049956 67574934 135149868