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136519904196 = 223413215792
BaseRepresentation
bin111111100100100111…
…0000110101111000100
3111001101022021200210000
41333021032012233010
54214043043413241
6142414423201300
712602043016254
oct1771116065704
9431338250700
10136519904196
1152996a21705
12225602a6230
13cb488a4300
146871371964
153840446eb6
hex1fc9386bc4

136519904196 has 135 divisors (see below), whose sum is σ = 386699749821. Its totient is φ = 41979521376.

The previous prime is 136519904167. The next prime is 136519904203. The reversal of 136519904196 is 691409915631.

It is a happy number.

The square root of 136519904196 is 369486.

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

136519904196 is a `hidden beast` number, since 1 + 36 + 5 + 199 + 0 + 419 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 20195252100 + 116324652096 = 142110^2 + 341064^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 86458935 + ... + 86460513.

Almost surely, 2136519904196 is an apocalyptic number.

136519904196 is the 369486-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136519904196

136519904196 is an abundant number, since it is smaller than the sum of its proper divisors (250179845625).

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

136519904196 is an equidigital number, since it uses as much as digits as its factorization.

136519904196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3200 (or 1597 counting only the distinct ones).

The product of its (nonzero) digits is 1574640, while the sum is 54.

The spelling of 136519904196 in words is "one hundred thirty-six billion, five hundred nineteen million, nine hundred four thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 169 234 324 338 351 468 507 676 702 1014 1053 1404 1521 1579 2028 2106 3042 3158 4212 4563 4737 6084 6316 9126 9474 13689 14211 18252 18948 20527 27378 28422 41054 42633 54756 56844 61581 82108 85266 123162 127899 170532 184743 246324 255798 266851 369486 511596 533702 554229 738972 800553 1067404 1108458 1601106 1662687 2216916 2401659 2493241 3202212 3325374 4803318 4986482 6650748 7204977 7479723 9606636 9972964 14409954 14959446 21614931 22439169 28819908 29918892 32412133 43229862 44878338 64824266 67317507 86459724 89756676 97236399 129648532 134635014 194472798 201952521 269270028 291709197 388945596 403905042 421357729 583418394 807810084 842715458 875127591 1166836788 1264073187 1685430916 1750255182 2528146374 2625382773 3500510364 3792219561 5056292748 5250765546 7584439122 10501531092 11376658683 15168878244 22753317366 34129976049 45506634732 68259952098 136519904196