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135146934 = 23313259251
BaseRepresentation
bin10000000111000…
…10110110110110
3100102022011202000
420003202312312
5234044200214
621224400130
73230505246
oct1003426666
9312264660
10135146934
116a31798a
1239316046
1321ccb400
1413d3db26
15bce8809
hex80e2db6

135146934 has 96 divisors (see below), whose sum is σ = 332035200. Its totient is φ = 40716000.

The previous prime is 135146929. The next prime is 135146941. The reversal of 135146934 is 439641531.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 538309 + ... + 538559.

It is an arithmetic number, because the mean of its divisors is an integer number (3458700).

Almost surely, 2135146934 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135146934, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166017600).

135146934 is an abundant number, since it is smaller than the sum of its proper divisors (196888266).

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

135146934 is a wasteful number, since it uses less digits than its factorization.

135146934 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 328 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 135146934 is about 11625.2713516718. The cubic root of 135146934 is about 513.1788303038.

The spelling of 135146934 in words is "one hundred thirty-five million, one hundred forty-six thousand, nine hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 59 78 117 118 169 177 234 251 338 351 354 502 507 531 702 753 767 1014 1062 1506 1521 1534 1593 2259 2301 3042 3186 3263 4518 4563 4602 6526 6777 6903 9126 9789 9971 13554 13806 14809 19578 19942 20709 29367 29618 29913 41418 42419 44427 58734 59826 84838 88101 88854 89739 127257 133281 176202 179478 192517 254514 266562 269217 381771 385034 399843 538434 577551 763542 799686 1145313 1155102 1732653 2290626 2502721 3465306 5005442 5197959 7508163 10395918 15016326 22524489 45048978 67573467 135146934