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136152471200 = 25522931189311
BaseRepresentation
bin111111011001101010…
…0011101011010100000
3111000102200220011110112
41332303110131122200
54212320013034300
6142314135550452
712556661624114
oct1766324353240
9430380804415
10136152471200
115281857a879
122247922b428
13caba726235
146838647744
15381d067e35
hex1fb351d6a0

136152471200 has 144 divisors (see below), whose sum is σ = 354937282560. Its totient is φ = 50886528000.

The previous prime is 136152471197. The next prime is 136152471209. The reversal of 136152471200 is 2174251631.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (136152471209) 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, 624545 + ... + 813855.

It is an arithmetic number, because the mean of its divisors is an integer number (2464842240).

Almost surely, 2136152471200 is an apocalyptic number.

136152471200 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 136152471200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177468641280).

136152471200 is an abundant number, since it is smaller than the sum of its proper divisors (218784811360).

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

136152471200 is a wasteful number, since it uses less digits than its factorization.

136152471200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189391 (or 189378 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The spelling of 136152471200 in words is "one hundred thirty-six billion, one hundred fifty-two million, four hundred seventy-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 29 31 32 40 50 58 62 80 100 116 124 145 155 160 200 232 248 290 310 400 464 496 580 620 725 775 800 899 928 992 1160 1240 1450 1550 1798 2320 2480 2900 3100 3596 4495 4640 4960 5800 6200 7192 8990 11600 12400 14384 17980 22475 23200 24800 28768 35960 44950 71920 89900 143840 179800 189311 359600 378622 719200 757244 946555 1514488 1893110 3028976 3786220 4732775 5490019 5868641 6057952 7572440 9465550 10980038 11737282 15144880 18931100 21960076 23474564 27450095 29343205 30289760 37862200 43920152 46949128 54900190 58686410 75724400 87840304 93898256 109800380 117372820 137250475 146716025 151448800 170190589 175680608 187796512 219600760 234745640 274500950 293432050 340381178 439201520 469491280 549001900 586864100 680762356 850952945 878403040 938982560 1098003800 1173728200 1361524712 1701905890 2196007600 2347456400 2723049424 3403811780 4254764725 4392015200 4694912800 5446098848 6807623560 8509529450 13615247120 17019058900 27230494240 34038117800 68076235600 136152471200