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135255480 = 233531103353
BaseRepresentation
bin10000000111111…
…01010110111000
3100102111200122020
420003331112320
5234111133410
621230554440
73231436563
oct1003752670
9312450566
10135255480
116a391498
1239368a20
1322038939
1413d6b4da
15bd1aa70
hex80fd5b8

135255480 has 128 divisors (see below), whose sum is σ = 424120320. Its totient is φ = 34467840.

The previous prime is 135255473. The next prime is 135255493. The reversal of 135255480 is 84552531.

135255480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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, 382984 + ... + 383336.

It is an arithmetic number, because the mean of its divisors is an integer number (3313440).

Almost surely, 2135255480 is an apocalyptic number.

135255480 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 135255480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212060160).

135255480 is an abundant number, since it is smaller than the sum of its proper divisors (288864840).

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

135255480 is a wasteful number, since it uses less digits than its factorization.

135255480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 33.

The square root of 135255480 is about 11629.9389508286. The cubic root of 135255480 is about 513.3161835315.

The spelling of 135255480 in words is "one hundred thirty-five million, two hundred fifty-five thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 103 120 124 155 186 206 248 309 310 353 372 412 465 515 618 620 706 744 824 930 1030 1059 1236 1240 1412 1545 1765 1860 2060 2118 2472 2824 3090 3193 3530 3720 4120 4236 5295 6180 6386 7060 8472 9579 10590 10943 12360 12772 14120 15965 19158 21180 21886 25544 31930 32829 36359 38316 42360 43772 47895 54715 63860 65658 72718 76632 87544 95790 109077 109430 127720 131316 145436 164145 181795 191580 218154 218860 262632 290872 328290 363590 383160 436308 437720 545385 656580 727180 872616 1090770 1127129 1313160 1454360 2181540 2254258 3381387 4363080 4508516 5635645 6762774 9017032 11271290 13525548 16906935 22542580 27051096 33813870 45085160 67627740 135255480