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135454500 = 22325331971
BaseRepresentation
bin10000001001011…
…01111100100100
3100102212210122100
420010231330210
5234134021000
621235132100
73233226036
oct1004557444
9312783570
10135454500
116a507a75
1239444030
13220a83bc
1413dbdc56
15bd59a00
hex812df24

135454500 has 144 divisors (see below), whose sum is σ = 441552384. Its totient is φ = 34920000.

The previous prime is 135454499. The next prime is 135454511. The reversal of 135454500 is 5454531.

135454500 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 139015 + ... + 139985.

It is an arithmetic number, because the mean of its divisors is an integer number (3066336).

Almost surely, 2135454500 is an apocalyptic number.

135454500 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 135454500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220776192).

135454500 is an abundant number, since it is smaller than the sum of its proper divisors (306097884).

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

135454500 is a wasteful number, since it uses less digits than its factorization.

135454500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1027 (or 1012 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 135454500 is about 11638.4921703801. The cubic root of 135454500 is about 513.5678310565.

The spelling of 135454500 in words is "one hundred thirty-five million, four hundred fifty-four thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 31 36 45 50 60 62 75 90 93 100 124 125 150 155 180 186 225 250 279 300 310 372 375 450 465 500 558 620 750 775 900 930 971 1116 1125 1395 1500 1550 1860 1942 2250 2325 2790 2913 3100 3875 3884 4500 4650 4855 5580 5826 6975 7750 8739 9300 9710 11625 11652 13950 14565 15500 17478 19420 23250 24275 27900 29130 30101 34875 34956 43695 46500 48550 58260 60202 69750 72825 87390 90303 97100 120404 121375 139500 145650 150505 174780 180606 218475 242750 270909 291300 301010 361212 364125 436950 451515 485500 541818 602020 728250 752525 873900 903030 1083636 1092375 1354545 1456500 1505050 1806060 2184750 2257575 2709090 3010100 3762625 4369500 4515150 5418180 6772725 7525250 9030300 11287875 13545450 15050500 22575750 27090900 33863625 45151500 67727250 135454500