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134165889 = 38112132
BaseRepresentation
bin1111111111100…
…11010110000001
3100100110100000000
413333303112001
5233321302024
621151350213
73216251124
oct777632601
9310410000
10134165889
1169807900
1238b22369
1321a46a00
1413b663bb
15bba2cc9
hex7ff3581

134165889 has 81 divisors (see below), whose sum is σ = 239520099. Its totient is φ = 75057840.

The previous prime is 134165869. The next prime is 134165929. The reversal of 134165889 is 988561431.

The square root of 134165889 is 11583.

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

It can be written as a sum of positive squares in only one way, i.e., 19847025 + 114318864 = 4455^2 + 10692^2 .

It is a tau number, because it is divible by the number of its divisors (81).

It is not a de Polignac number, because 134165889 - 27 = 134165761 is a prime.

Its product of digits (207360) is a multiple of the sum of its prime divisors (27).

It is not an unprimeable number, because it can be changed into a prime (134165869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 10320447 + ... + 10320459.

Almost surely, 2134165889 is an apocalyptic number.

134165889 is the 11583-rd square number.

134165889 is the 5792-nd centered octagonal number.

It is an amenable number.

134165889 is a deficient number, since it is larger than the sum of its proper divisors (105354210).

134165889 is an frugal number, since it uses more digits than its factorization.

134165889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 27 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The cubic root of 134165889 is about 511.9340748146.

The spelling of 134165889 in words is "one hundred thirty-four million, one hundred sixty-five thousand, eight hundred eighty-nine".

Divisors: 1 3 9 11 13 27 33 39 81 99 117 121 143 169 243 297 351 363 429 507 729 891 1053 1089 1287 1521 1573 1859 2187 2673 3159 3267 3861 4563 4719 5577 6561 8019 9477 9801 11583 13689 14157 16731 20449 24057 28431 29403 34749 41067 42471 50193 61347 72171 85293 88209 104247 123201 127413 150579 184041 264627 312741 369603 382239 451737 552123 793881 938223 1108809 1146717 1355211 1656369 3440151 4065633 4969107 10320453 12196899 14907321 44721963 134165889