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135355050 = 23452191759
BaseRepresentation
bin10000001000101…
…01101010101010
3100102200202020000
420010111222222
5234122330200
621233043430
73232333065
oct1004255252
9312622200
10135355050
116a44a286
12393b6576
132207205c
1413d958dc
15bd3a300
hex8115aaa

135355050 has 120 divisors (see below), whose sum is σ = 396105600. Its totient is φ = 34175520.

The previous prime is 135355043. The next prime is 135355079. The reversal of 135355050 is 50553531.

135355050 is a `hidden beast` number, since 13 + 53 + 550 + 50 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 76071 + ... + 77829.

It is an arithmetic number, because the mean of its divisors is an integer number (3300880).

Almost surely, 2135355050 is an apocalyptic number.

135355050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 135355050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198052800).

135355050 is an abundant number, since it is smaller than the sum of its proper divisors (260750550).

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

135355050 is a wasteful number, since it uses less digits than its factorization.

135355050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1802 (or 1788 counting only the distinct ones).

The product of its (nonzero) digits is 5625, while the sum is 27.

The square root of 135355050 is about 11634.2189252223. The cubic root of 135355050 is about 513.4421139943.

The spelling of 135355050 in words is "one hundred thirty-five million, three hundred fifty-five thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 19 25 27 30 38 45 50 54 57 75 81 90 95 114 135 150 162 171 190 225 270 285 342 405 450 475 513 570 675 810 855 950 1026 1350 1425 1539 1710 1759 2025 2565 2850 3078 3518 4050 4275 5130 5277 7695 8550 8795 10554 12825 15390 15831 17590 25650 26385 31662 33421 38475 43975 47493 52770 66842 76950 79155 87950 94986 100263 131925 142479 158310 167105 200526 237465 263850 284958 300789 334210 395775 474930 501315 601578 712395 791550 835525 902367 1002630 1187325 1424790 1503945 1671050 1804734 2374650 2506575 2707101 3007890 3561975 4511835 5013150 5414202 7123950 7519725 9023670 13535505 15039450 22559175 27071010 45118350 67677525 135355050