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136777927225 = 521721922292
BaseRepresentation
bin111111101100010011…
…0011000101000111001
3111002001021210121211111
41333120212120220321
54220110122132400
6142500201400321
712611325125062
oct1773046305071
9432037717744
10136777927225
1153009635185
12226127990a1
13cb8a195764
146897739569
153857e133ba
hex1fd8998a39

136777927225 has 81 divisors (see below), whose sum is σ = 190983834567. Its totient is φ = 97139381760.

The previous prime is 136777927219. The next prime is 136777927289. The reversal of 136777927225 is 522729777631.

The square root of 136777927225 is 369835.

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

It can be written as a sum of positive squares in 13 ways, for example, as 1695215929 + 135082711296 = 41173^2 + 367536^2 .

It is not a de Polignac number, because 136777927225 - 23 = 136777927217 is a prime.

It is a Duffinian number.

Its product of digits (15558480) is a multiple of the sum of its prime divisors (270).

It is a self number, because there is not a number n which added to its sum of digits gives 136777927225.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 597283411 + ... + 597283639.

Almost surely, 2136777927225 is an apocalyptic number.

136777927225 is the 369835-th square number.

136777927225 is the 184918-th centered octagonal number.

It is an amenable number.

136777927225 is a deficient number, since it is larger than the sum of its proper divisors (54205907342).

136777927225 is an equidigital number, since it uses as much as digits as its factorization.

136777927225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 270 counting only the distinct ones).

The product of its digits is 15558480, while the sum is 58.

The spelling of 136777927225 in words is "one hundred thirty-six billion, seven hundred seventy-seven million, nine hundred twenty-seven thousand, two hundred twenty-five".

Divisors: 1 5 17 19 25 85 95 229 289 323 361 425 475 1145 1445 1615 1805 3893 4351 5491 5725 6137 7225 8075 9025 19465 21755 27455 30685 52441 66181 73967 82669 97325 104329 108775 137275 153425 262205 330905 369835 413345 521645 891497 996379 1257439 1311025 1405373 1654525 1849175 2066725 2608225 4457485 4981895 6287195 7026865 15155449 16938443 18931201 22287425 23891341 24909475 31435975 35134325 75777245 84692215 94656005 119456705 287953531 321830417 378886225 423461075 473280025 597283525 1439767655 1609152085 5471117089 7198838275 8045760425 27355585445 136777927225