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134205341200 = 2452759812381
BaseRepresentation
bin111110011111101000…
…0101111111000010000
3110211102000000201020121
41330333100233320100
54144323031404300
6141353022120024
712460506402220
oct1747720577020
9424360021217
10134205341200
1151a09464227
1222015120014
13c86a2006c8
1466d1bd2080
15375714a81a
hex1f3f42fe10

134205341200 has 120 divisors (see below), whose sum is σ = 374735568960. Its totient is φ = 45233318400.

The previous prime is 134205341191. The next prime is 134205341203. The reversal of 134205341200 is 2143502431.

It is a super-2 number, since 2×1342053412002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (134205341203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 240991 + ... + 571390.

It is an arithmetic number, because the mean of its divisors is an integer number (3122796408).

Almost surely, 2134205341200 is an apocalyptic number.

134205341200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134205341200 is an abundant number, since it is smaller than the sum of its proper divisors (240530227760).

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

134205341200 is a wasteful number, since it uses less digits than its factorization.

134205341200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812465 (or 812454 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 134205341200 its reverse (2143502431), we get a palindrome (136348843631).

The spelling of 134205341200 in words is "one hundred thirty-four billion, two hundred five million, three hundred forty-one thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 59 70 80 100 112 118 140 175 200 236 280 295 350 400 413 472 560 590 700 826 944 1180 1400 1475 1652 2065 2360 2800 2950 3304 4130 4720 5900 6608 8260 10325 11800 16520 20650 23600 33040 41300 82600 165200 812381 1624762 3249524 4061905 5686667 6499048 8123810 11373334 12998096 16247620 20309525 22746668 28433335 32495240 40619050 45493336 47930479 56866670 64990480 81238100 90986672 95860958 113733340 142166675 162476200 191721916 227466680 239652395 284333350 324952400 335513353 383443832 454933360 479304790 568666700 671026706 766887664 958609580 1137333400 1198261975 1342053412 1677566765 1917219160 2274666800 2396523950 2684106824 3355133530 3834438320 4793047900 5368213648 6710267060 8387833825 9586095800 13420534120 16775667650 19172191600 26841068240 33551335300 67102670600 134205341200