Search a number
-
+
165145134 = 23711379661
BaseRepresentation
bin10011101011111…
…10101000101110
3102111202020112110
421311332220232
5314234121014
624215344450
74043465460
oct1165765056
9374666473
10165145134
1185246a90
1247382126
13282a261b
1417d0c130
15e771d59
hex9d7ea2e

165145134 has 64 divisors (see below), whose sum is σ = 422963712. Its totient is φ = 41731200.

The previous prime is 165145121. The next prime is 165145147. The reversal of 165145134 is 431541561.

It is a happy number.

165145134 is nontrivially palindromic in base 9.

It is an interprime number because it is at equal distance from previous prime (165145121) and next prime (165145147).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 12264 + ... + 21924.

It is an arithmetic number, because the mean of its divisors is an integer number (6608808).

Almost surely, 2165145134 is an apocalyptic number.

165145134 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 165145134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211481856).

165145134 is an abundant number, since it is smaller than the sum of its proper divisors (257818578).

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

165145134 is a wasteful number, since it uses less digits than its factorization.

165145134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9721.

The product of its digits is 7200, while the sum is 30.

The square root of 165145134 is about 12850.8806702109. The cubic root of 165145134 is about 548.6414226436.

Adding to 165145134 its reverse (431541561), we get a palindrome (596686695).

The spelling of 165145134 in words is "one hundred sixty-five million, one hundred forty-five thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 11 14 21 22 33 37 42 66 74 77 111 154 222 231 259 407 462 518 777 814 1221 1554 2442 2849 5698 8547 9661 17094 19322 28983 57966 67627 106271 135254 202881 212542 318813 357457 405762 637626 714914 743897 1072371 1487794 2144742 2231691 2502199 3932027 4463382 5004398 7506597 7864054 11796081 15013194 23592162 27524189 55048378 82572567 165145134