Search a number
-
+
137137045248 = 283372834347
BaseRepresentation
bin111111110111000000…
…0010011111100000000
3111002222022112201011000
41333232000103330000
54221324040421443
6142555550452000
712623245436310
oct1775600237400
9432868481130
10137137045248
1153183317935
12226b2b04000
13cc166c1c28
1468cd2db440
1538796ed8d3
hex1fee013f00

137137045248 has 144 divisors (see below), whose sum is σ = 463472584960. Its totient is φ = 39181999104.

The previous prime is 137137045121. The next prime is 137137045249. The reversal of 137137045248 is 842540731731.

137137045248 is a `hidden beast` number, since 1 + 37 + 1 + 370 + 4 + 5 + 248 = 666.

137137045248 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137137045249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1368790 + ... + 1465557.

Almost surely, 2137137045248 is an apocalyptic number.

137137045248 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

137137045248 is an abundant number, since it is smaller than the sum of its proper divisors (326335539712).

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

137137045248 is an equidigital number, since it uses as much as digits as its factorization.

137137045248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2834379 (or 2834359 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

Adding to 137137045248 its reverse (842540731731), we get a palindrome (979677776979).

The spelling of 137137045248 in words is "one hundred thirty-seven billion, one hundred thirty-seven million, forty-five thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 256 288 336 378 384 432 448 504 576 672 756 768 864 896 1008 1152 1344 1512 1728 1792 2016 2304 2688 3024 3456 4032 5376 6048 6912 8064 12096 16128 24192 48384 2834347 5668694 8503041 11337388 17006082 19840429 22674776 25509123 34012164 39680858 45349552 51018246 59521287 68024328 76527369 79361716 90699104 102036492 119042574 136048656 153054738 158723432 178563861 181398208 204072984 238085148 272097312 306109476 317446864 357127722 362796416 408145968 476170296 535691583 544194624 612218952 634893728 714255444 725592832 816291936 952340592 1071383166 1088389248 1224437904 1269787456 1428510888 1632583872 1904681184 2142766332 2176778496 2448875808 2539574912 2857021776 3265167744 3809362368 4285532664 4897751616 5079149824 5714043552 6530335488 7618724736 8571065328 9795503232 11428087104 15237449472 17142130656 19591006464 22856174208 34284261312 45712348416 68568522624 137137045248