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136145646736 = 241131472412203
BaseRepresentation
bin111111011001011101…
…0011011010010010000
3111000102020001110001121
41332302322123102100
54212311241143421
6142313333412024
712556546621531
oct1766272332220
9430366043047
10136145646736
1152814739520
1222476a9a014
13cab91a6ba8
14683778c688
15381c66ad41
hex1fb2e9b490

136145646736 has 160 divisors (see below), whose sum is σ = 304762208256. Its totient is φ = 58344192000.

The previous prime is 136145646731. The next prime is 136145646757. The reversal of 136145646736 is 637646541631.

It is not an unprimeable number, because it can be changed into a prime (136145646731) 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, 61799011 + ... + 61801213.

Almost surely, 2136145646736 is an apocalyptic number.

136145646736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136145646736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152381104128).

136145646736 is an abundant number, since it is smaller than the sum of its proper divisors (168616561520).

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

136145646736 is a wasteful number, since it uses less digits than its factorization.

136145646736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2541 (or 2535 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 52.

The spelling of 136145646736 in words is "one hundred thirty-six billion, one hundred forty-five million, six hundred forty-six thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 31 44 47 62 88 94 124 176 188 241 248 341 376 482 496 517 682 752 964 1034 1364 1457 1928 2068 2203 2651 2728 2914 3856 4136 4406 5302 5456 5828 7471 8272 8812 10604 11327 11656 14942 16027 17624 21208 22654 23312 24233 29884 32054 35248 42416 45308 48466 59768 64108 68293 82181 90616 96932 103541 119536 124597 128216 136586 164362 181232 193864 207082 249194 256432 273172 328724 351137 387728 414164 498388 530923 546344 657448 702274 751223 828328 996776 1061846 1092688 1138951 1314896 1404548 1502446 1656656 1993552 2123692 2277902 2809096 3004892 3209771 3862507 4247384 4555804 5618192 5840153 6009784 6419542 7725014 8494768 9111608 11680306 12019568 12839084 15450028 16458613 18223216 23360612 24953381 25678168 30900056 32917226 35307481 46721224 49906762 51356336 61800112 65834452 70614962 93442448 99813524 131668904 141229924 181044743 199627048 263337808 274487191 282459848 362089486 399254096 548974382 564919696 724178972 773554811 1097948764 1448357944 1547109622 2195897528 2896715888 3094219244 4391795056 6188438488 8509102921 12376876976 17018205842 34036411684 68072823368 136145646736