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135123417 = 33111379443
BaseRepresentation
bin10000000110111…
…01000111011001
3100102020222111000
420003131013121
5234042422132
621224055213
73230346552
oct1003350731
9312228430
10135123417
116a301250
1239304509
1321cc07b0
1413d35329
15bce187c
hex80dd1d9

135123417 has 64 divisors (see below), whose sum is σ = 238694400. Its totient is φ = 74468160.

The previous prime is 135123403. The next prime is 135123427. The reversal of 135123417 is 714321531.

It is not a de Polignac number, because 135123417 - 214 = 135107033 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (135123427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 304798 + ... + 305240.

It is an arithmetic number, because the mean of its divisors is an integer number (3729600).

Almost surely, 2135123417 is an apocalyptic number.

It is an amenable number.

135123417 is a deficient number, since it is larger than the sum of its proper divisors (103570983).

135123417 is a wasteful number, since it uses less digits than its factorization.

135123417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555 (or 549 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 135123417 is about 11624.2598474053. The cubic root of 135123417 is about 513.1490623905.

Adding to 135123417 its reverse (714321531), we get a palindrome (849444948).

The spelling of 135123417 in words is "one hundred thirty-five million, one hundred twenty-three thousand, four hundred seventeen".

Divisors: 1 3 9 11 13 27 33 39 79 99 117 143 237 297 351 429 443 711 869 1027 1287 1329 2133 2607 3081 3861 3987 4873 5759 7821 9243 11297 11961 14619 17277 23463 27729 33891 34997 43857 51831 63349 101673 104991 131571 155493 190047 305019 314973 384967 454961 570141 944919 1154901 1364883 1710423 3464703 4094649 5004571 10394109 12283947 15013713 45041139 135123417