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133527303140 = 225711229378629
BaseRepresentation
bin111110001011011011…
…0001111001111100100
3110202122202011210212212
41330112312033033210
54141430442200030
6141201441302552
712434634230660
oct1742666171744
9422582153785
10133527303140
11516a07551a0
1221a66034a58
13c78c8b075a
146669b338a0
153717865595
hex1f16d8f3e4

133527303140 has 96 divisors (see below), whose sum is σ = 351126316800. Its totient is φ = 41437048320.

The previous prime is 133527303139. The next prime is 133527303179. The reversal of 133527303140 is 41303725331.

It is a junction number, because it is equal to n+sod(n) for n = 133527303097 and 133527303106.

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, 163346 + ... + 541974.

It is an arithmetic number, because the mean of its divisors is an integer number (3657565800).

Almost surely, 2133527303140 is an apocalyptic number.

133527303140 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 133527303140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175563158400).

133527303140 is an abundant number, since it is smaller than the sum of its proper divisors (217599013660).

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

133527303140 is a wasteful number, since it uses less digits than its factorization.

133527303140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378885 (or 378883 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 32.

The spelling of 133527303140 in words is "one hundred thirty-three billion, five hundred twenty-seven million, three hundred three thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 229 308 385 458 770 916 1145 1540 1603 2290 2519 3206 4580 5038 6412 8015 10076 12595 16030 17633 25190 32060 35266 50380 70532 88165 176330 352660 378629 757258 1514516 1893145 2650403 3786290 4164919 5300806 7572580 8329838 10601612 13252015 16659676 20824595 26504030 29154433 41649190 53008060 58308866 83298380 86706041 116617732 145772165 173412082 291544330 346824164 433530205 583088660 606942287 867060410 953766451 1213884574 1734120820 1907532902 2427769148 3034711435 3815065804 4768832255 6069422870 6676365157 9537664510 12138845740 13352730314 19075329020 26705460628 33381825785 66763651570 133527303140