Search a number
-
+
138060549225 = 34522323592
BaseRepresentation
bin1000000010010100001…
…1001100110001101001
3111012100200021120110000
42000211003030301221
54230222000033400
6143231340413213
712655161206604
oct2004503146151
9435320246400
10138060549225
1153607643065
1222910247209
1310032b278a1
146979c1533b
1538d081e600
hex20250ccc69

138060549225 has 135 divisors (see below), whose sum is σ = 268084994023. Its totient is φ = 70234702560.

The previous prime is 138060549217. The next prime is 138060549233. The reversal of 138060549225 is 522945060831.

The square root of 138060549225 is 371565.

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

138060549225 is a `hidden beast` number, since 1 + 3 + 80 + 6 + 0 + 549 + 2 + 25 = 666.

It is an interprime number because it is at equal distance from previous prime (138060549217) and next prime (138060549233).

It can be written as a sum of positive squares in only one way, i.e., 49701797721 + 88358751504 = 222939^2 + 297252^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 138060549225 - 23 = 138060549217 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 384569596 + ... + 384569954.

Almost surely, 2138060549225 is an apocalyptic number.

138060549225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

138060549225 is the 371565-th square number.

138060549225 is the 185783-rd centered octagonal number.

It is an amenable number.

138060549225 is a deficient number, since it is larger than the sum of its proper divisors (130024444798).

138060549225 is an frugal number, since it uses more digits than its factorization.

138060549225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 786 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 138060549225 in words is "one hundred thirty-eight billion, sixty million, five hundred forty-nine thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 23 25 27 45 69 75 81 115 135 207 225 345 359 405 529 575 621 675 1035 1077 1587 1725 1795 1863 2025 2645 3105 3231 4761 5175 5385 7935 8257 8975 9315 9693 13225 14283 15525 16155 23805 24771 26925 29079 39675 41285 42849 46575 48465 71415 74313 80775 119025 123855 128881 145395 189911 206425 214245 222939 242325 357075 371565 386643 569733 619275 644405 668817 726975 949555 1071225 1114695 1159929 1709199 1857825 1933215 2848665 2964263 3222025 3344085 3479787 4747775 5127597 5573475 5799645 8545995 8892789 9666075 10439361 14243325 14821315 15382791 16720425 17398935 25637985 26678367 28998225 42729975 44463945 52196805 68178049 74106575 76913955 80035101 86994675 128189925 133391835 204534147 222319725 240105303 260984025 340890245 384569775 400175505 613602441 666959175 1022670735 1200526515 1704451225 1840807323 2000877525 3068012205 5113353675 5522421969 6002632575 9204036615 15340061025 27612109845 46020183075 138060549225