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135000054 = 23371918797
BaseRepresentation
bin10000000101111…
…10111111110110
3100102000201021000
420002332333312
5234030000204
621221304130
73226324110
oct1002767766
9312021230
10135000054
116a2275a2
1239265046
1321c795b7
1413d023b0
15bcba039
hex80beff6

135000054 has 64 divisors (see below), whose sum is σ = 360921600. Its totient is φ = 36539424.

The previous prime is 135000053. The next prime is 135000067. The reversal of 135000054 is 450000531.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135000053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2217 + ... + 16580.

It is an arithmetic number, because the mean of its divisors is an integer number (5639400).

Almost surely, 2135000054 is an apocalyptic number.

135000054 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 135000054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180460800).

135000054 is an abundant number, since it is smaller than the sum of its proper divisors (225921546).

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

135000054 is a wasteful number, since it uses less digits than its factorization.

135000054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18834 (or 18828 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 135000054 is about 11618.9523624120. The cubic root of 135000054 is about 512.9928524020.

Adding to 135000054 its reverse (450000531), we get a palindrome (585000585).

The spelling of 135000054 in words is "one hundred thirty-five million, fifty-four", and thus it is an aban number.

Divisors: 1 2 3 6 7 9 14 18 19 21 27 38 42 54 57 63 114 126 133 171 189 266 342 378 399 513 798 1026 1197 2394 3591 7182 18797 37594 56391 112782 131579 169173 263158 338346 357143 394737 507519 714286 789474 1015038 1071429 1184211 2142858 2368422 2500001 3214287 3552633 5000002 6428574 7105266 7500003 9642861 15000006 19285722 22500009 45000018 67500027 135000054