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136009752025 = 52724122572
BaseRepresentation
bin111111010101011010…
…0000001110111011001
3111000001202100021120011
41332222310001313121
54212021444031100
6142252041001521
712553306550200
oct1765264016731
9430052307504
10136009752025
1152754a60844
12224394832a1
13ca96ca6314
1468236d6237
153810775bba
hex1faad01dd9

136009752025 has 81 divisors (see below), whose sum is σ = 201874380087. Its totient is φ = 90635059200.

The previous prime is 136009752007. The next prime is 136009752041. The reversal of 136009752025 is 520257900631.

The square root of 136009752025 is 368795.

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 74173977801 + 61835774224 = 272349^2 + 248668^2 .

It is not a de Polignac number, because 136009752025 - 211 = 136009749977 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, 529220697 + ... + 529220953.

Almost surely, 2136009752025 is an apocalyptic number.

136009752025 is the 368795-th square number.

136009752025 is the 184398-th centered octagonal number.

It is an amenable number.

136009752025 is a deficient number, since it is larger than the sum of its proper divisors (65864628062).

136009752025 is an frugal number, since it uses more digits than its factorization.

136009752025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 40.

It can be divided in two parts, 13600 and 9752025, that added together give a 10-th power (9765625 = 510).

The spelling of 136009752025 in words is "one hundred thirty-six billion, nine million, seven hundred fifty-two thousand, twenty-five".

Divisors: 1 5 7 25 35 41 49 175 205 245 257 287 1025 1225 1285 1435 1681 1799 2009 6425 7175 8405 8995 10045 10537 11767 12593 42025 44975 50225 52685 58835 62965 66049 73759 82369 263425 294175 314825 330245 368795 411845 432017 462343 516313 1651225 1843975 2059225 2160085 2311715 2581565 2708009 3024119 3236401 10800425 11558575 12907825 13540045 15120595 16182005 18956063 21168833 67700225 75602975 80910025 94780315 105844165 111028369 132692441 473901575 529220825 555141845 663462205 777198583 2775709225 3317311025 3885992915 5440390081 19429964575 27201950405 136009752025