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138233165 = 5725973131
BaseRepresentation
bin10000011110101…
…00010101001101
3100122002222020212
420033110111031
5240341430130
621414452205
73265651100
oct1017242515
9318088225
10138233165
1171035694
123a364065
132283c095
1414504737
15c207e95
hex83d454d

138233165 has 48 divisors (see below), whose sum is σ = 200439360. Its totient is φ = 91203840.

The previous prime is 138233159. The next prime is 138233167. The reversal of 138233165 is 561332831.

It is not a de Polignac number, because 138233165 - 28 = 138232909 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138233167) 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 47 ways as a sum of consecutive naturals, for example, 1055150 + ... + 1055280.

It is an arithmetic number, because the mean of its divisors is an integer number (4175820).

Almost surely, 2138233165 is an apocalyptic number.

It is an amenable number.

138233165 is a deficient number, since it is larger than the sum of its proper divisors (62206195).

138233165 is a wasteful number, since it uses less digits than its factorization.

138233165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 275 counting only the distinct ones).

The product of its digits is 12960, while the sum is 32.

The square root of 138233165 is about 11757.2600974887. The cubic root of 138233165 is about 517.0558037305.

Adding to 138233165 its reverse (561332831), we get a palindrome (699565996).

The spelling of 138233165 in words is "one hundred thirty-eight million, two hundred thirty-three thousand, one hundred sixty-five".

Divisors: 1 5 7 35 49 59 73 131 245 295 365 413 511 655 917 2065 2555 2891 3577 4307 4585 6419 7729 9563 14455 17885 21535 30149 32095 38645 47815 54103 66941 150745 211043 270515 334705 378721 468587 564217 1055215 1893605 2342935 2821085 3949519 19747595 27646633 138233165