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135017145 = 3351758831
BaseRepresentation
bin10000000110000…
…11001010111001
3100102001120201000
420003003022321
5234031022040
621221515213
73226424664
oct1003031271
9312046630
10135017145
116a23941a
1239272b09
1321c84303
1413d086db
15bcc0130
hex80c32b9

135017145 has 32 divisors (see below), whose sum is σ = 254154240. Its totient is φ = 67772160.

The previous prime is 135017143. The next prime is 135017147. The reversal of 135017145 is 541710531.

135017145 is a `hidden beast` number, since 13 + 501 + 7 + 145 = 666.

It is an interprime number because it is at equal distance from previous prime (135017143) and next prime (135017147).

It is not a de Polignac number, because 135017145 - 21 = 135017143 is a prime.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (135017143) 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 31 ways as a sum of consecutive naturals, for example, 27121 + ... + 31710.

It is an arithmetic number, because the mean of its divisors is an integer number (7942320).

Almost surely, 2135017145 is an apocalyptic number.

135017145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

135017145 is a deficient number, since it is larger than the sum of its proper divisors (119137095).

135017145 is a wasteful number, since it uses less digits than its factorization.

135017145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58862 (or 58856 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 135017145 is about 11619.6878185259. The cubic root of 135017145 is about 513.0144997783.

Adding to 135017145 its reverse (541710531), we get a palindrome (676727676).

The spelling of 135017145 in words is "one hundred thirty-five million, seventeen thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 17 27 45 51 85 135 153 255 459 765 2295 58831 176493 294155 529479 882465 1000127 1588437 2647395 3000381 5000635 7942185 9001143 15001905 27003429 45005715 135017145