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135839025 = 345272372
BaseRepresentation
bin10000001100010…
…11110100110001
3100110121100010000
420012023310301
5234233322100
621251300213
73236420100
oct1006136461
9313540100
10135839025
116a74a963
12395aa669
13221b142a
1414080037
15bdd3900
hex818bd31

135839025 has 135 divisors (see below), whose sum is σ = 300826449. Its totient is φ = 60419520.

The previous prime is 135839023. The next prime is 135839029. The reversal of 135839025 is 520938531.

The square root of 135839025 is 11655.

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

It can be written as a sum of positive squares in 4 ways, for example, as 12895281 + 122943744 = 3591^2 + 11088^2 .

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

It is not a de Polignac number, because 135839025 - 21 = 135839023 is a prime.

It is not an unprimeable number, because it can be changed into a prime (135839023) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 3671307 + ... + 3671343.

Almost surely, 2135839025 is an apocalyptic number.

135839025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

135839025 is the 11655-th square number.

135839025 is the 5828-th centered octagonal number.

It is an amenable number.

135839025 is an abundant number, since it is smaller than the sum of its proper divisors (164987424).

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

135839025 is an equidigital number, since it uses as much as digits as its factorization.

135839025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The cubic root of 135839025 is about 514.0533399605.

Multiplying 135839025 by its sum of digits (36), we get a square (4890204900 = 699302).

Multiplying 135839025 by its product of nonzero digits (32400), we get a square (4401184410000 = 20979002).

It can be divided in two parts, 135 and 839025, that added together give a triangular number (839160 = T1295).

The spelling of 135839025 in words is "one hundred thirty-five million, eight hundred thirty-nine thousand, twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 37 45 49 63 75 81 105 111 135 147 175 185 189 225 245 259 315 333 405 441 525 555 567 675 735 777 925 945 999 1225 1295 1323 1369 1575 1665 1813 2025 2205 2331 2775 2835 2997 3675 3885 3969 4107 4725 4995 5439 6475 6615 6845 6993 8325 9065 9583 11025 11655 12321 14175 14985 16317 19425 19845 20535 20979 24975 27195 28749 33075 34225 34965 36963 45325 47915 48951 58275 61605 67081 74925 81585 86247 99225 102675 104895 110889 135975 143745 146853 174825 184815 201243 239575 244755 258741 308025 335405 407925 431235 524475 554445 603729 718725 734265 776223 924075 1006215 1223775 1293705 1677025 1811187 2156175 2772225 3018645 3671325 3881115 5031075 5433561 6468525 9055935 15093225 19405575 27167805 45279675 135839025