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136238501025 = 325211222372
BaseRepresentation
bin111111011100001110…
…0101000110010100001
3111000122200202221012100
41332320130220302201
54213004024013100
6142330451521013
712562055102664
oct1767034506241
9430580687170
10136238501025
115286209a300
12224a1bb9169
13cb024b8063
146845c3d6db
1538258ad400
hex1fb8728ca1

136238501025 has 81 divisors (see below), whose sum is σ = 268338408793. Its totient is φ = 66025502400.

The previous prime is 136238501023. The next prime is 136238501027. The reversal of 136238501025 is 520105832631.

The square root of 136238501025 is 369105.

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

136238501025 is a `hidden beast` number, since 1 + 3 + 623 + 8 + 5 + 0 + 1 + 0 + 25 = 666.

It is an interprime number because it is at equal distance from previous prime (136238501023) and next prime (136238501027).

It can be written as a sum of positive squares in 4 ways, for example, as 4085894241 + 132152606784 = 63921^2 + 363528^2 .

It is not a de Polignac number, because 136238501025 - 21 = 136238501023 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (136238501023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 60901207 + ... + 60903443.

Almost surely, 2136238501025 is an apocalyptic number.

136238501025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

136238501025 is the 369105-th square number.

136238501025 is the 184553-rd centered octagonal number.

It is an amenable number.

136238501025 is a deficient number, since it is larger than the sum of its proper divisors (132099907768).

136238501025 is an equidigital number, since it uses as much as digits as its factorization.

136238501025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4512 (or 2256 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Multiplying 136238501025 by its sum of digits (36), we get a square (4904586036900 = 22146302).

The spelling of 136238501025 in words is "one hundred thirty-six billion, two hundred thirty-eight million, five hundred one thousand, twenty-five".

Divisors: 1 3 5 9 11 15 25 33 45 55 75 99 121 165 225 275 363 495 605 825 1089 1815 2237 2475 3025 5445 6711 9075 11185 20133 24607 27225 33555 55925 73821 100665 123035 167775 221463 270677 369105 503325 615175 812031 1107315 1353385 1845525 2436093 4060155 5004169 5536575 6766925 12180465 15012507 20300775 25020845 45037521 55045859 60902325 75062535 125104225 165137577 225187605 275229295 375312675 495412731 605504449 825687885 1125938025 1376146475 1816513347 2477063655 3027522245 4128439425 5449540041 9082566735 12385318275 15137611225 27247700205 45412833675 136238501025