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135045141 = 371119291061
BaseRepresentation
bin10000000110010…
…10000000010101
3100102010000002220
420003022000111
5234032421031
621222252553
73226602420
oct1003120025
9312100086
10135045141
116a258460
1239287159
1321c93c8a
1413d149b7
15bcc8596
hex80ca015

135045141 has 64 divisors (see below), whose sum is σ = 244684800. Its totient is φ = 64108800.

The previous prime is 135045091. The next prime is 135045271. The reversal of 135045141 is 141540531.

It is a happy number.

It is not a de Polignac number, because 135045141 - 29 = 135044629 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135040141) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 126751 + ... + 127811.

It is an arithmetic number, because the mean of its divisors is an integer number (3823200).

Almost surely, 2135045141 is an apocalyptic number.

135045141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

135045141 is a deficient number, since it is larger than the sum of its proper divisors (109639659).

135045141 is a wasteful number, since it uses less digits than its factorization.

135045141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1130.

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 135045141 is about 11620.8924356092. The cubic root of 135045141 is about 513.0499554269.

Adding to 135045141 its reverse (141540531), we get a palindrome (276585672).

The spelling of 135045141 in words is "one hundred thirty-five million, forty-five thousand, one hundred forty-one".

Divisors: 1 3 7 11 19 21 29 33 57 77 87 133 203 209 231 319 399 551 609 627 957 1061 1463 1653 2233 3183 3857 4389 6061 6699 7427 11571 11671 18183 20159 22281 30769 35013 42427 60477 81697 92307 127281 141113 215383 221749 245091 338459 423339 584611 646149 665247 1015377 1552243 1753833 2369213 4092277 4656729 6430721 7107639 12276831 19292163 45015047 135045141