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156125025 = 325274172
BaseRepresentation
bin10010100111001…
…00011101100001
3101212202222021100
421103210131201
5304432000100
623254145013
73604020000
oct1123443541
9355688240
10156125025
1180146051
1244352169
1326464a94
1416a40c37
15da8e400
hex94e4761

156125025 has 135 divisors (see below), whose sum is σ = 346542521. Its totient is φ = 67173120.

The previous prime is 156125017. The next prime is 156125069. The reversal of 156125025 is 520521651.

The square root of 156125025 is 12495.

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

156125025 is a `hidden beast` number, since 156 + 1 + 2 + 502 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3651921 + 152473104 = 1911^2 + 12348^2 .

It is not a de Polignac number, because 156125025 - 23 = 156125017 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 156125025.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 9183817 + ... + 9183833.

Almost surely, 2156125025 is an apocalyptic number.

156125025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

156125025 is the 12495-th square number.

156125025 is the 6248-th centered octagonal number.

It is an amenable number.

156125025 is an abundant number, since it is smaller than the sum of its proper divisors (190417496).

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

156125025 is an equidigital number, since it uses as much as digits as its factorization.

156125025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 32 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The cubic root of 156125025 is about 538.4650339517.

Adding to 156125025 its reverse (520521651), we get a palindrome (676646676).

The spelling of 156125025 in words is "one hundred fifty-six million, one hundred twenty-five thousand, twenty-five".

Divisors: 1 3 5 7 9 15 17 21 25 35 45 49 51 63 75 85 105 119 147 153 175 225 245 255 289 315 343 357 425 441 525 595 735 765 833 867 1029 1071 1225 1275 1445 1575 1715 1785 2023 2205 2401 2499 2601 2975 3087 3675 3825 4165 4335 5145 5355 5831 6069 7203 7225 7497 8575 8925 10115 11025 12005 12495 13005 14161 15435 17493 18207 20825 21609 21675 25725 26775 29155 30345 36015 37485 40817 42483 50575 52479 60025 62475 65025 70805 77175 87465 91035 99127 108045 122451 127449 145775 151725 180075 187425 204085 212415 262395 297381 354025 367353 437325 455175 495635 540225 612255 637245 693889 892143 1020425 1062075 1311975 1486905 1836765 2081667 2478175 3061275 3186225 3469445 4460715 6245001 7434525 9183825 10408335 17347225 22303575 31225005 52041675 156125025