Search a number
-
+
135182775 = 35271329683
BaseRepresentation
bin10000000111010…
…11100110110111
3100102100222220110
420003223212313
5234101322100
621225234103
73231014610
oct1003534667
9312328813
10135182775
116a341902
1239332933
1322011810
1413d4cc07
15bd04250
hex80eb9b7

135182775 has 96 divisors (see below), whose sum is σ = 284981760. Its totient is φ = 54996480.

The previous prime is 135182767. The next prime is 135182819. The reversal of 135182775 is 577281531.

It is not a de Polignac number, because 135182775 - 23 = 135182767 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 197584 + ... + 198266.

It is an arithmetic number, because the mean of its divisors is an integer number (2968560).

Almost surely, 2135182775 is an apocalyptic number.

135182775 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

135182775 is an abundant number, since it is smaller than the sum of its proper divisors (149798985).

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

135182775 is a wasteful number, since it uses less digits than its factorization.

135182775 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745 (or 740 counting only the distinct ones).

The product of its digits is 58800, while the sum is 39.

The square root of 135182775 is about 11626.8127618879. The cubic root of 135182775 is about 513.2241913446.

The spelling of 135182775 in words is "one hundred thirty-five million, one hundred eighty-two thousand, seven hundred seventy-five".

Divisors: 1 3 5 7 13 15 21 25 29 35 39 65 75 87 91 105 145 175 195 203 273 325 377 435 455 525 609 683 725 975 1015 1131 1365 1885 2049 2175 2275 2639 3045 3415 4781 5075 5655 6825 7917 8879 9425 10245 13195 14343 15225 17075 19807 23905 26637 28275 39585 44395 51225 59421 62153 65975 71715 99035 119525 133185 138649 186459 197925 221975 257491 297105 310765 358575 415947 495175 665925 693245 772473 932295 1287455 1485525 1553825 1802437 2079735 3466225 3862365 4661475 5407311 6437275 9012185 10398675 19311825 27036555 45060925 135182775