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137823111137 = 269952153813
BaseRepresentation
bin1000000001011011100…
…1011100011111100001
3111011202010111110121202
42000112321130133201
54224230204024022
6143152015330545
712646246054355
oct2002671343741
9434663443552
10137823111137
11534a560a338
1222864820a55
13ccc5892b8a
146956489465
1538b9a6c592
hex2016e5c7e1

137823111137 has 8 divisors (see below), whose sum is σ = 138352565160. Its totient is φ = 137293784320.

The previous prime is 137823111103. The next prime is 137823111149. The reversal of 137823111137 is 731111328731.

It can be written as a sum of positive squares in 4 ways, for example, as 2366725201 + 135456385936 = 48649^2 + 368044^2 .

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 137823111137 - 226 = 137756002273 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 137823111137.

It is not an unprimeable number, because it can be changed into a prime (137823111157) 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, 2534243 + ... + 2588055.

It is an arithmetic number, because the mean of its divisors is an integer number (17294070645).

Almost surely, 2137823111137 is an apocalyptic number.

It is an amenable number.

137823111137 is a deficient number, since it is larger than the sum of its proper divisors (529454023).

137823111137 is an equidigital number, since it uses as much as digits as its factorization.

137823111137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63603.

The product of its digits is 21168, while the sum is 38.

Adding to 137823111137 its reverse (731111328731), we get a palindrome (868934439868).

The spelling of 137823111137 in words is "one hundred thirty-seven billion, eight hundred twenty-three million, one hundred eleven thousand, one hundred thirty-seven".

Divisors: 1 269 9521 53813 2561149 14475697 512353573 137823111137