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137354034224 = 241117192416163
BaseRepresentation
bin111111111101011110…
…0000011110000110000
3111010112102211220001202
41333322330003300300
54222300113043344
6143033301350332
712631522012241
oct1777274036060
9433472756052
10137354034224
1153284853970
12227537083a8
13cc4c646c84
146910062cc8
15388d7b194e
hex1ffaf03c30

137354034224 has 80 divisors (see below), whose sum is σ = 323572682880. Its totient is φ = 55668372480.

The previous prime is 137354034217. The next prime is 137354034247. The reversal of 137354034224 is 422430453731.

It is a super-2 number, since 2×1373540342242 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1151234 + ... + 1264929.

It is an arithmetic number, because the mean of its divisors is an integer number (4044658536).

Almost surely, 2137354034224 is an apocalyptic number.

It is an amenable number.

137354034224 is an abundant number, since it is smaller than the sum of its proper divisors (186218648656).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

137354034224 is a wasteful number, since it uses less digits than its factorization.

137354034224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2416218 (or 2416212 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 38.

Adding to 137354034224 its reverse (422430453731), we get a palindrome (559784487955).

The spelling of 137354034224 in words is "one hundred thirty-seven billion, three hundred fifty-four million, thirty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 16 17 19 22 34 38 44 68 76 88 136 152 176 187 209 272 304 323 374 418 646 748 836 1292 1496 1672 2584 2992 3344 3553 5168 7106 14212 28424 56848 2416163 4832326 9664652 19329304 26577793 38658608 41074771 45907097 53155586 82149542 91814194 106311172 164299084 183628388 212622344 328598168 367256776 425244688 451822481 504978067 657196336 734513552 780420649 903644962 1009956134 1560841298 1807289924 2019912268 3121682596 3614579848 4039824536 6243365192 7229159696 8079649072 8584627139 12486730384 17169254278 34338508556 68677017112 137354034224