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134911361068225 = 5272281211812
BaseRepresentation
bin11110101011001101111111…
…110000001010110011000001
3122200200101210201100010122221
4132223031333300022303001
5120140341431413140400
61154533231302331041
740263011203034200
oct3653157760126301
9580611721303587
10134911361068225
1139a94650211375
121316a885a29a81
135a381187c43a1
142545a5d703237
15108e54a192c1a
hex7ab37fc0acc1

134911361068225 has 81 divisors (see below), whose sum is σ = 195463262600283. Its totient is φ = 92103374496000.

The previous prime is 134911361068163. The next prime is 134911361068241. The reversal of 134911361068225 is 522860163119431.

The square root of 134911361068225 is 11615135.

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 8537610642561 + 126373750425664 = 2921919^2 + 11241608^2 .

It is not a de Polignac number, because 134911361068225 - 223 = 134911352679617 is a prime.

It is a Duffinian number.

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, 114234852135 + ... + 114234853315.

Almost surely, 2134911361068225 is an apocalyptic number.

134911361068225 is the 11615135-th square number.

134911361068225 is the 5807568-th centered octagonal number.

It is an amenable number.

134911361068225 is a deficient number, since it is larger than the sum of its proper divisors (60551901532058).

134911361068225 is an frugal number, since it uses more digits than its factorization.

134911361068225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2948 (or 1474 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 52.

The spelling of 134911361068225 in words is "one hundred thirty-four trillion, nine hundred eleven billion, three hundred sixty-one million, sixty-eight thousand, two hundred twenty-five".

Divisors: 1 5 7 25 35 49 175 245 281 1181 1225 1405 1967 5905 7025 8267 9835 13769 29525 41335 49175 57869 68845 78961 206675 289345 331861 344225 394805 552727 1394761 1446725 1659305 1974025 2323027 2763635 3869089 6973805 8296525 9763327 11615135 13818175 16261189 19345445 34869025 48816635 58075675 68343289 81305945 93252941 96727225 244083175 341716445 391927841 406529725 466264705 652770587 1708582225 1959639205 2331323525 2743494887 3263852935 4569394109 9798196025 13717474435 16319264675 19204464209 22846970545 68587372175 96022321045 110131723321 114234852725 480111605225 550658616605 770922063247 2753293083025 3854610316235 5396454442729 19273051581175 26982272213645 134911361068225