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138520005 = 35132531031
BaseRepresentation
bin10000100000110…
…10010111000101
3100122122112201120
420100122113011
5240430120010
621424544153
73301254261
oct1020322705
9318575646
10138520005
1171211148
123a482059
132290c800
141457b0a1
15c262e70
hex841a5c5

138520005 has 48 divisors (see below), whose sum is σ = 244757376. Its totient is φ = 66842880.

The previous prime is 138520003. The next prime is 138520069. The reversal of 138520005 is 500025831.

It is not a de Polignac number, because 138520005 - 21 = 138520003 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138520003) 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 47 ways as a sum of consecutive naturals, for example, 133840 + ... + 134870.

It is an arithmetic number, because the mean of its divisors is an integer number (5099112).

Almost surely, 2138520005 is an apocalyptic number.

138520005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

138520005 is a deficient number, since it is larger than the sum of its proper divisors (106237371).

138520005 is a wasteful number, since it uses less digits than its factorization.

138520005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1118 (or 1105 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 138520005 is about 11769.4521962579. The cubic root of 138520005 is about 517.4131946165.

Adding to 138520005 its reverse (500025831), we get a palindrome (638545836).

The spelling of 138520005 in words is "one hundred thirty-eight million, five hundred twenty thousand, five".

Divisors: 1 3 5 13 15 39 53 65 159 169 195 265 507 689 795 845 1031 2067 2535 3093 3445 5155 8957 10335 13403 15465 26871 40209 44785 54643 67015 134355 163929 174239 201045 273215 522717 710359 819645 871195 2131077 2613585 3551795 9234667 10655385 27704001 46173335 138520005