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135423054 = 232131759577
BaseRepresentation
bin10000001001001…
…10010001001110
3100102211012111200
420010212101032
5234132014204
621234330330
73233035254
oct1004462116
9312735450
10135423054
116a496388
12394299a6
1322096cb0
1413db25d4
15bd50539
hex812644e

135423054 has 96 divisors (see below), whose sum is σ = 340835040. Its totient is φ = 38486016.

The previous prime is 135423053. The next prime is 135423059. The reversal of 135423054 is 450324531.

135423054 is a `hidden beast` number, since 1 + 354 + 2 + 305 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135423053) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 234414 + ... + 234990.

It is an arithmetic number, because the mean of its divisors is an integer number (3550365).

Almost surely, 2135423054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135423054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170417520).

135423054 is an abundant number, since it is smaller than the sum of its proper divisors (205411986).

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

135423054 is a wasteful number, since it uses less digits than its factorization.

135423054 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 135423054 is about 11637.1411437689. The cubic root of 135423054 is about 513.5280860895.

Adding to 135423054 its reverse (450324531), we get a palindrome (585747585).

The spelling of 135423054 in words is "one hundred thirty-five million, four hundred twenty-three thousand, fifty-four".

Divisors: 1 2 3 6 9 13 17 18 26 34 39 51 59 78 102 117 118 153 177 221 234 306 354 442 531 577 663 767 1003 1062 1154 1326 1534 1731 1989 2006 2301 3009 3462 3978 4602 5193 6018 6903 7501 9027 9809 10386 13039 13806 15002 18054 19618 22503 26078 29427 34043 39117 45006 58854 67509 68086 78234 88281 102129 117351 127517 135018 176562 204258 234702 255034 306387 382551 442559 578731 612774 765102 885118 1147653 1157462 1327677 1736193 2295306 2655354 3472386 3983031 5208579 7523503 7966062 10417158 15047006 22570509 45141018 67711527 135423054