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134168385 = 35134316001
BaseRepresentation
bin1111111111100…
…11111101000001
3100100110110102110
413333303331001
5233321342020
621151405533
73216261321
oct777637501
9310413373
10134168385
116980976a
1238b238a9
1321a47ba0
1413b67281
15bba38e0
hex7ff3f41

134168385 has 32 divisors (see below), whose sum is σ = 236573568. Its totient is φ = 64512000.

The previous prime is 134168383. The next prime is 134168393. The reversal of 134168385 is 583861431.

It is not a de Polignac number, because 134168385 - 21 = 134168383 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (134168381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 385 + ... + 16385.

It is an arithmetic number, because the mean of its divisors is an integer number (7392924).

It is the magic constant of a 645 × 645 magic square.

Almost surely, 2134168385 is an apocalyptic number.

134168385 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

134168385 is a deficient number, since it is larger than the sum of its proper divisors (102405183).

134168385 is a wasteful number, since it uses less digits than its factorization.

134168385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16065.

The product of its digits is 69120, while the sum is 39.

The square root of 134168385 is about 11583.1077436066. The cubic root of 134168385 is about 511.9372494406.

The spelling of 134168385 in words is "one hundred thirty-four million, one hundred sixty-eight thousand, three hundred eighty-five".

Divisors: 1 3 5 13 15 39 43 65 129 195 215 559 645 1677 2795 8385 16001 48003 80005 208013 240015 624039 688043 1040065 2064129 3120195 3440215 8944559 10320645 26833677 44722795 134168385