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135645020 = 225753101181
BaseRepresentation
bin10000001010111…
…00011101011100
3100110020110222122
420011130131130
5234211120040
621243202112
73234651350
oct1005343534
9313213878
10135645020
116a628125
1239516338
1322144034
141402d460
15bd961b5
hex815c75c

135645020 has 96 divisors (see below), whose sum is σ = 336825216. Its totient is φ = 44928000.

The previous prime is 135645019. The next prime is 135645043. The reversal of 135645020 is 20546531.

135645020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 749330 + ... + 749510.

It is an arithmetic number, because the mean of its divisors is an integer number (3508596).

Almost surely, 2135645020 is an apocalyptic number.

135645020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135645020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168412608).

135645020 is an abundant number, since it is smaller than the sum of its proper divisors (201180196).

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

135645020 is a wasteful number, since it uses less digits than its factorization.

135645020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 135645020 is about 11646.6742033939. The cubic root of 135645020 is about 513.8085000763.

The spelling of 135645020 in words is "one hundred thirty-five million, six hundred forty-five thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 53 70 101 106 140 181 202 212 265 362 371 404 505 530 707 724 742 905 1010 1060 1267 1414 1484 1810 1855 2020 2534 2828 3535 3620 3710 5068 5353 6335 7070 7420 9593 10706 12670 14140 18281 19186 21412 25340 26765 36562 37471 38372 47965 53530 67151 73124 74942 91405 95930 107060 127967 134302 149884 182810 187355 191860 255934 268604 335755 365620 374710 511868 639835 671510 749420 968893 1279670 1343020 1937786 2559340 3875572 4844465 6782251 9688930 13564502 19377860 27129004 33911255 67822510 135645020