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18144135 = 335134401
BaseRepresentation
bin100010100110…
…1101110000111
31021010211002000
41011031232013
514121103020
61444520343
7310136232
oct105155607
937124060
1018144135
11a272a59
1260b00b3
1339b3799
1425a4419
1518d6090
hex114db87

18144135 has 16 divisors (see below), whose sum is σ = 32256480. Its totient is φ = 9676800.

The previous prime is 18144131. The next prime is 18144149. The reversal of 18144135 is 53144181.

It is a happy number.

It is not a de Polignac number, because 18144135 - 22 = 18144131 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 18144099 and 18144108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18144131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67066 + ... + 67335.

It is an arithmetic number, because the mean of its divisors is an integer number (2016030).

Almost surely, 218144135 is an apocalyptic number.

18144135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

18144135 is a deficient number, since it is larger than the sum of its proper divisors (14112345).

18144135 is a wasteful number, since it uses less digits than its factorization.

18144135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134415 (or 134409 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 18144135 is about 4259.5932904445. The cubic root of 18144135 is about 262.7718001058.

It can be divided in two parts, 181441 and 35, that added together give a square (181476 = 4262).

The spelling of 18144135 in words is "eighteen million, one hundred forty-four thousand, one hundred thirty-five".

Divisors: 1 3 5 9 15 27 45 135 134401 403203 672005 1209609 2016015 3628827 6048045 18144135