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135521014552 = 237112346120749
BaseRepresentation
bin111111000110110101…
…1101001001100011000
3110221210200200211210021
41332031223221030120
54210021334431202
6142131341400224
712535223421460
oct1761553511430
9427720624707
10135521014552
1152524097080
1222321869074
13ca19965651
1467b8832ba0
1537d28d4a37
hex1f8dae9318

135521014552 has 128 divisors (see below), whose sum is σ = 331309440000. Its totient is φ = 50392742400.

The previous prime is 135521014507. The next prime is 135521014567. The reversal of 135521014552 is 255410125531.

135521014552 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 6521074 + ... + 6541822.

It is an arithmetic number, because the mean of its divisors is an integer number (2588355000).

Almost surely, 2135521014552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135521014552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165654720000).

135521014552 is an abundant number, since it is smaller than the sum of its proper divisors (195788425448).

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

135521014552 is a wasteful number, since it uses less digits than its factorization.

135521014552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21257 (or 21253 counting only the distinct ones).

The product of its (nonzero) digits is 30000, while the sum is 34.

The spelling of 135521014552 in words is "one hundred thirty-five billion, five hundred twenty-one million, fourteen thousand, five hundred fifty-two".

Divisors: 1 2 4 7 8 11 14 22 23 28 44 46 56 77 88 92 154 161 184 253 308 322 461 506 616 644 922 1012 1288 1771 1844 2024 3227 3542 3688 5071 6454 7084 10142 10603 12908 14168 20284 20749 21206 25816 35497 40568 41498 42412 70994 74221 82996 84824 116633 141988 145243 148442 165992 228239 233266 283976 290486 296884 456478 466532 477227 580972 593768 816431 912956 933064 954454 1161944 1597673 1632862 1825912 1908908 3195346 3265724 3340589 3817816 5249497 6390692 6531448 6681178 9565289 10498994 12781384 13362356 19130578 20997988 26724712 36746479 38261156 41995976 66957023 73492958 76522312 105218179 133914046 146985916 210436358 220001647 267828092 293971832 420872716 440003294 535656184 736527253 841745432 880006588 1473054506 1540011529 1760013176 2420018117 2946109012 3080023058 4840036234 5892218024 6160046116 9680072468 12320092232 16940126819 19360144936 33880253638 67760507276 135521014552