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138520837 = 71341137271
BaseRepresentation
bin10000100000110…
…10100100000101
3100122122120212101
420100122210011
5240430131322
621424552101
73301256560
oct1020324405
9318576771
10138520837
1171211834
123a482631
132290ccc0
141457b4d7
15c263327
hex841a905

138520837 has 32 divisors (see below), whose sum is σ = 176569344. Its totient is φ = 105753600.

The previous prime is 138520831. The next prime is 138520861. The reversal of 138520837 is 738025831.

It is a cyclic number.

It is not a de Polignac number, because 138520837 - 23 = 138520829 is a prime.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 138520796 and 138520805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138520831) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 511012 + ... + 511282.

It is an arithmetic number, because the mean of its divisors is an integer number (5517792).

Almost surely, 2138520837 is an apocalyptic number.

It is an amenable number.

138520837 is a deficient number, since it is larger than the sum of its proper divisors (38048507).

138520837 is a wasteful number, since it uses less digits than its factorization.

138520837 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469.

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 138520837 is about 11769.4875419451. The cubic root of 138520837 is about 517.4142305365.

It can be divided in two parts, 1385 and 20837, that added together give a palindrome (22222).

The spelling of 138520837 in words is "one hundred thirty-eight million, five hundred twenty thousand, eight hundred thirty-seven".

Divisors: 1 7 13 41 91 137 271 287 533 959 1781 1897 3523 3731 5617 11111 12467 24661 37127 39319 73021 77777 144443 259889 482651 511147 1011101 1522207 3378557 10655449 19788691 138520837