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135336006 = 23213797321
BaseRepresentation
bin10000001000100…
…01000001000110
3100102122210002200
420010101001012
5234121223011
621232415330
73232223421
oct1004210106
9312583080
10135336006
116a436a43
12393a7546
13220664a0
1413d8c9b8
15bd34856
hex8111046

135336006 has 48 divisors (see below), whose sum is σ = 319824960. Its totient is φ = 41109120.

The previous prime is 135335951. The next prime is 135336013. The reversal of 135336006 is 600633531.

135336006 is a `hidden beast` number, since 1 + 3 + 53 + 3 + 600 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14826 + ... + 22146.

It is an arithmetic number, because the mean of its divisors is an integer number (6663020).

Almost surely, 2135336006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135336006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159912480).

135336006 is an abundant number, since it is smaller than the sum of its proper divisors (184488954).

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

135336006 is a wasteful number, since it uses less digits than its factorization.

135336006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7421 (or 7418 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 27.

The square root of 135336006 is about 11633.4004487080. The cubic root of 135336006 is about 513.4180330057.

Adding to 135336006 its reverse (600633531), we get a palindrome (735969537).

The spelling of 135336006 in words is "one hundred thirty-five million, three hundred thirty-six thousand, six".

Divisors: 1 2 3 6 9 13 18 26 39 78 79 117 158 234 237 474 711 1027 1422 2054 3081 6162 7321 9243 14642 18486 21963 43926 65889 95173 131778 190346 285519 571038 578359 856557 1156718 1713114 1735077 3470154 5205231 7518667 10410462 15037334 22556001 45112002 67668003 135336006