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135555000 = 2335471291
BaseRepresentation
bin10000001010001…
…10011110111000
3100110001220111120
420011012132320
5234200230000
621241225240
73234125040
oct1005063670
9313056446
10135555000
116a576529
1239492220
1322112079
1414008720
15bd796a0
hex81467b8

135555000 has 160 divisors (see below), whose sum is σ = 484344960. Its totient is φ = 30960000.

The previous prime is 135554977. The next prime is 135555023. The reversal of 135555000 is 555531.

It is an interprime number because it is at equal distance from previous prime (135554977) and next prime (135555023).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 104355 + ... + 105645.

It is an arithmetic number, because the mean of its divisors is an integer number (3027156).

Almost surely, 2135555000 is an apocalyptic number.

135555000 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 135555000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242172480).

135555000 is an abundant number, since it is smaller than the sum of its proper divisors (348789960).

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

135555000 is a wasteful number, since it uses less digits than its factorization.

135555000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1327 (or 1308 counting only the distinct ones).

The product of its (nonzero) digits is 1875, while the sum is 24.

The square root of 135555000 is about 11642.8089394269. The cubic root of 135555000 is about 513.6948129518.

The spelling of 135555000 in words is "one hundred thirty-five million, five hundred fifty-five thousand".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 50 56 60 70 75 84 100 105 120 125 140 150 168 175 200 210 250 280 300 350 375 420 500 525 600 625 700 750 840 875 1000 1050 1250 1291 1400 1500 1750 1875 2100 2500 2582 2625 3000 3500 3750 3873 4200 4375 5000 5164 5250 6455 7000 7500 7746 8750 9037 10328 10500 12910 13125 15000 15492 17500 18074 19365 21000 25820 26250 27111 30984 32275 35000 36148 38730 45185 51640 52500 54222 64550 72296 77460 90370 96825 105000 108444 129100 135555 154920 161375 180740 193650 216888 225925 258200 271110 322750 361480 387300 451850 484125 542220 645500 677775 774600 806875 903700 968250 1084440 1129625 1291000 1355550 1613750 1807400 1936500 2259250 2420625 2711100 3227500 3388875 3873000 4518500 4841250 5422200 5648125 6455000 6777750 9037000 9682500 11296250 13555500 16944375 19365000 22592500 27111000 33888750 45185000 67777500 135555000