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135106667 = 1760713093
BaseRepresentation
bin10000000110110…
…01000001101011
3100102020010111122
420003121001223
5234041403132
621223445455
73230246663
oct1003310153
9312203448
10135106667
116a29a703
12392b688b
1321cb5c97
1413d2d1a3
15bcdb912
hex80d906b

135106667 has 8 divisors (see below), whose sum is σ = 143300736. Its totient is φ = 126940032.

The previous prime is 135106627. The next prime is 135106691. The reversal of 135106667 is 766601531.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 135106667 - 212 = 135102571 is a prime.

It is a super-2 number, since 2×1351066672 = 36507622935697778, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (135106607) 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 7 ways as a sum of consecutive naturals, for example, 3773 + ... + 16865.

It is an arithmetic number, because the mean of its divisors is an integer number (17912592).

Almost surely, 2135106667 is an apocalyptic number.

135106667 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

135106667 is a deficient number, since it is larger than the sum of its proper divisors (8194069).

135106667 is a wasteful number, since it uses less digits than its factorization.

135106667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13717.

The product of its (nonzero) digits is 22680, while the sum is 35.

The square root of 135106667 is about 11623.5393490967. The cubic root of 135106667 is about 513.1278580669.

The spelling of 135106667 in words is "one hundred thirty-five million, one hundred six thousand, six hundred sixty-seven".

Divisors: 1 17 607 10319 13093 222581 7947451 135106667