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135287770320 = 24335531181759
BaseRepresentation
bin111110111111111000…
…1111000110011010000
3110221012102210210212000
41331333301320303100
54204032132122240
6142052250234000
712526362034233
oct1757761706320
9427172723760
10135287770320
115241446824a
1222277725900
13c9b053b801
14679587941a
1537bc1b0430
hex1f7fc78cd0

135287770320 has 160 divisors (see below), whose sum is σ = 474783897600. Its totient is φ = 35396015616.

The previous prime is 135287770291. The next prime is 135287770339. The reversal of 135287770320 is 23077782531.

It is a happy number.

135287770320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 476400 + ... + 705359.

It is an arithmetic number, because the mean of its divisors is an integer number (2967399360).

Almost surely, 2135287770320 is an apocalyptic number.

135287770320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135287770320 is an abundant number, since it is smaller than the sum of its proper divisors (339496127280).

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

135287770320 is a wasteful number, since it uses less digits than its factorization.

135287770320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1181834 (or 1181822 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The spelling of 135287770320 in words is "one hundred thirty-five billion, two hundred eighty-seven million, seven hundred seventy thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 53 54 60 72 80 90 106 108 120 135 144 159 180 212 216 240 265 270 318 360 424 432 477 530 540 636 720 795 848 954 1060 1080 1272 1431 1590 1908 2120 2160 2385 2544 2862 3180 3816 4240 4770 5724 6360 7155 7632 9540 11448 12720 14310 19080 22896 28620 38160 57240 114480 1181759 2363518 3545277 4727036 5908795 7090554 9454072 10635831 11817590 14181108 17726385 18908144 21271662 23635180 28362216 31907493 35452770 42543324 47270360 53179155 56724432 62633227 63814986 70905540 85086648 94540720 106358310 125266454 127629972 141811080 159537465 170173296 187899681 212716620 250532908 255259944 283622160 313166135 319074930 375799362 425433240 501065816 510519888 563699043 626332270 638149860 751598724 850866480 939498405 1002131632 1127398086 1252664540 1276299720 1503197448 1691097129 1878996810 2254796172 2505329080 2552599440 2818495215 3006394896 3382194258 3757993620 4509592344 5010658160 5636990430 6764388516 7515987240 8455485645 9019184688 11273980860 13528777032 15031974480 16910971290 22547961720 27057554064 33821942580 45095923440 67643885160 135287770320