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135371801351700 = 223252199755844787
BaseRepresentation
bin11110110001111010110100…
…001000011101011000010100
3122202022102021120222000210100
4132301322310020131120110
5120220412422121223300
61155524540315454100
740341201301623204
oct3661726410353024
9582272246860710
10135371801351700
113a151949800271
1213223b66457330
135a6c676b66a74
14256005ca08404
15109b4e7cad700
hex7b1eb421d614

135371801351700 has 108 divisors (see below), whose sum is σ = 426447629389600. Its totient is φ = 35917744230720.

The previous prime is 135371801351693. The next prime is 135371801351723. The reversal of 135371801351700 is 7153108173531.

135371801351700 is a `hidden beast` number, since 1 + 3 + 5 + 371 + 80 + 1 + 35 + 170 + 0 = 666.

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 35 ways as a sum of consecutive naturals, for example, 377743294 + ... + 378101493.

Almost surely, 2135371801351700 is an apocalyptic number.

135371801351700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135371801351700 is an abundant number, since it is smaller than the sum of its proper divisors (291075828037900).

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

135371801351700 is a wasteful number, since it uses less digits than its factorization.

135371801351700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755845006 (or 755844996 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 45.

The spelling of 135371801351700 in words is "one hundred thirty-five trillion, three hundred seventy-one billion, eight hundred one million, three hundred fifty-one thousand, seven hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 199 225 300 398 450 597 796 900 995 1194 1791 1990 2388 2985 3582 3980 4975 5970 7164 8955 9950 11940 14925 17910 19900 29850 35820 44775 59700 89550 179100 755844787 1511689574 2267534361 3023379148 3779223935 4535068722 6802603083 7558447870 9070137444 11337671805 13605206166 15116895740 18896119675 22675343610 27210412332 34013015415 37792239350 45350687220 56688359025 68026030830 75584478700 113376718050 136052061660 150413112613 170065077075 226753436100 300826225226 340130154150 451239337839 601652450452 680260308300 752065563065 902478675678 1353718013517 1504131126130 1804957351356 2256196689195 2707436027034 3008262252260 3760327815325 4512393378390 5414872054068 6768590067585 7520655630650 9024786756780 11280983445975 13537180135170 15041311261300 22561966891950 27074360270340 33842950337925 45123933783900 67685900675850 135371801351700