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135443750480 = 245171512932251
BaseRepresentation
bin111111000100100010…
…0111001111001010000
3110221121022022102101222
41332021010321321100
54204342100003410
6142115541344212
712533264612003
oct1761104717120
9427538272358
10135443750480
1152494514475
12222bba08068
13ca0695266c
1467ac47d53a
1537cac21955
hex1f89139e50

135443750480 has 160 divisors (see below), whose sum is σ = 336933934848. Its totient is φ = 50457600000.

The previous prime is 135443750461. The next prime is 135443750501. The reversal of 135443750480 is 84057344531.

It is a happy number.

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, 60169355 + ... + 60171605.

Almost surely, 2135443750480 is an apocalyptic number.

135443750480 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 135443750480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168466967424).

135443750480 is an abundant number, since it is smaller than the sum of its proper divisors (201490184368).

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

135443750480 is a wasteful number, since it uses less digits than its factorization.

135443750480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2725 (or 2719 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 44.

The spelling of 135443750480 in words is "one hundred thirty-five billion, four hundred forty-three million, seven hundred fifty thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 151 170 272 293 302 340 586 604 680 755 1172 1208 1360 1465 1510 2251 2344 2416 2567 2930 3020 4502 4688 4981 5134 5860 6040 9004 9962 10268 11255 11720 12080 12835 18008 19924 20536 22510 23440 24905 25670 36016 38267 39848 41072 44243 45020 49810 51340 76534 79696 88486 90040 99620 102680 153068 176972 180080 191335 199240 205360 221215 306136 339901 353944 382670 398480 442430 612272 659543 679802 707888 752131 765340 884860 1319086 1359604 1504262 1530680 1699505 1769720 2638172 2719208 3008524 3061360 3297715 3399010 3539440 3760655 5276344 5438416 5778317 6017048 6595430 6798020 7521310 10552688 11212231 11556634 12034096 13190860 13596040 15042620 22424462 23113268 26381720 27192080 28891585 30085240 44848924 46226536 52763440 56061155 57783170 60170480 89697848 92453072 99590993 112122310 115566340 179395696 199181986 224244620 231132680 398363972 448489240 462265360 497954965 796727944 896978480 995909930 1593455888 1693046881 1991819860 3386093762 3983639720 6772187524 7967279440 8465234405 13544375048 16930468810 27088750096 33860937620 67721875240 135443750480