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137168011044 = 223217236312
BaseRepresentation
bin111111110111111011…
…0011011111100100100
3111010001110210221020100
41333233312123330210
54221410002323134
6143003014304100
712624102566511
oct1775766337444
9433043727210
10137168011044
11531998479a9
1222701358030
13cc1cc4469c
1468d347c308
15387c2b8999
hex1fefd9bf24

137168011044 has 81 divisors (see below), whose sum is σ = 368427373041. Its totient is φ = 43021249920.

The previous prime is 137168011039. The next prime is 137168011051. The reversal of 137168011044 is 440110861731.

The square root of 137168011044 is 370362.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 106791704100 + 30376306944 = 326790^2 + 174288^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 37775109 + ... + 37778739.

Almost surely, 2137168011044 is an apocalyptic number.

137168011044 is the 370362-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137168011044

137168011044 is an abundant number, since it is smaller than the sum of its proper divisors (231259361997).

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

137168011044 is an equidigital number, since it uses as much as digits as its factorization.

137168011044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7306 (or 3653 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

Multiplying 137168011044 by its sum of digits (36), we get a square (4938048397584 = 22221722).

137168011044 divided by its sum of digits (36) gives a square (3810222529 = 617272).

Adding to 137168011044 its reverse (440110861731), we get a palindrome (577278872775).

The spelling of 137168011044 in words is "one hundred thirty-seven billion, one hundred sixty-eight million, eleven thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 289 306 578 612 867 1156 1734 2601 3468 3631 5202 7262 10404 10893 14524 21786 32679 43572 61727 65358 123454 130716 185181 246908 370362 555543 740724 1049359 1111086 2098718 2222172 3148077 4197436 6296154 9444231 12592308 13184161 18888462 26368322 37776924 39552483 52736644 79104966 118657449 158209932 224130737 237314898 448261474 474629796 672392211 896522948 1344784422 2017176633 2689568844 3810222529 4034353266 7620445058 8068706532 11430667587 15240890116 22861335174 34292002761 45722670348 68584005522 137168011044