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138023 = 1723353
BaseRepresentation
bin100001101100100111
321000022222
4201230213
513404043
62542555
71113254
oct415447
9230288
10138023
1194776
1267a5b
134aa92
143842b
152ad68
hex21b27

138023 has 8 divisors (see below), whose sum is σ = 152928. Its totient is φ = 123904.

The previous prime is 138007. The next prime is 138041. The reversal of 138023 is 320831.

138023 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 138023 - 24 = 138007 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 137992 and 138010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138053) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 215 + ... + 567.

It is an arithmetic number, because the mean of its divisors is an integer number (19116).

2138023 is an apocalyptic number.

138023 is a deficient number, since it is larger than the sum of its proper divisors (14905).

138023 is a wasteful number, since it uses less digits than its factorization.

138023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393.

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 138023 is about 371.5144680897. The cubic root of 138023 is about 51.6793632804.

Adding to 138023 its reverse (320831), we get a palindrome (458854).

The spelling of 138023 in words is "one hundred thirty-eight thousand, twenty-three".

Divisors: 1 17 23 353 391 6001 8119 138023