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135055920 = 24353767227
BaseRepresentation
bin10000000110011…
…00101000110000
3100102010112220010
420003030220300
5234033242140
621222414520
73226646016
oct1003145060
9312115803
10135055920
116a26556a
1239291440
1321c98b5c
1413d188b6
15bccb880
hex80cca30

135055920 has 160 divisors (see below), whose sum is σ = 438329088. Its totient is φ = 34366464.

The previous prime is 135055919. The next prime is 135055937. The reversal of 135055920 is 29550531.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 594847 + ... + 595073.

Almost surely, 2135055920 is an apocalyptic number.

135055920 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 135055920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219164544).

135055920 is an abundant number, since it is smaller than the sum of its proper divisors (303273168).

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

135055920 is a wasteful number, since it uses less digits than its factorization.

135055920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 6750, while the sum is 30.

The square root of 135055920 is about 11621.3562031288. The cubic root of 135055920 is about 513.0636052290.

The spelling of 135055920 in words is "one hundred thirty-five million, fifty-five thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 37 40 48 60 67 74 80 111 120 134 148 185 201 222 227 240 268 296 335 370 402 444 454 536 555 592 670 681 740 804 888 908 1005 1072 1110 1135 1340 1362 1480 1608 1776 1816 2010 2220 2270 2479 2680 2724 2960 3216 3405 3632 4020 4440 4540 4958 5360 5448 6810 7437 8040 8399 8880 9080 9916 10896 12395 13620 14874 15209 16080 16798 18160 19832 24790 25197 27240 29748 30418 33596 37185 39664 41995 45627 49580 50394 54480 59496 60836 67192 74370 76045 83990 91254 99160 100788 118992 121672 125985 134384 148740 152090 167980 182508 198320 201576 228135 243344 251970 297480 304180 335960 365016 403152 456270 503940 562733 594960 608360 671920 730032 912540 1007880 1125466 1216720 1688199 1825080 2015760 2250932 2813665 3376398 3650160 4501864 5627330 6752796 8440995 9003728 11254660 13505592 16881990 22509320 27011184 33763980 45018640 67527960 135055920