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135201214553370 = 23576701920910433
BaseRepresentation
bin11110101111011011111100…
…010111011101110100011010
3122201201002222002210210200120
4132233123330113131310122
5120210114041411201440
61155314325220414110
740322652064021560
oct3657337427356432
9581632862723616
10135201214553370
113a096570a218a9
12131b6a99247336
135a5955c487044
142555ab9063a30
151096d61ba1dd0
hex7af6fc5ddd1a

135201214553370 has 128 divisors (see below), whose sum is σ = 370968786593280. Its totient is φ = 30892206489600.

The previous prime is 135201214553299. The next prime is 135201214553371. The reversal of 135201214553370 is 73355412102531.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (135201214553371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12958991674 + ... + 12959002106.

It is an arithmetic number, because the mean of its divisors is an integer number (2898193645260).

Almost surely, 2135201214553370 is an apocalyptic number.

135201214553370 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

135201214553370 is an abundant number, since it is smaller than the sum of its proper divisors (235767572039910).

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

135201214553370 is a wasteful number, since it uses less digits than its factorization.

135201214553370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26360.

The product of its (nonzero) digits is 378000, while the sum is 42.

The spelling of 135201214553370 in words is "one hundred thirty-five trillion, two hundred one billion, two hundred fourteen million, five hundred fifty-three thousand, three hundred seventy".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 6701 9209 10433 13402 18418 20103 20866 27627 31299 33505 40206 46045 46907 52165 55254 62598 64463 67010 73031 92090 93814 100515 104330 128926 138135 140721 146062 156495 193389 201030 219093 234535 276270 281442 312990 322315 365155 386778 438186 469070 644630 703605 730310 966945 1095465 1407210 1933890 2190930 61709509 69911533 96077497 123419018 139823066 185128527 192154994 209734599 288232491 308547545 349557665 370257054 419469198 431966563 480387485 489380731 576464982 617095090 672542479 699115330 863933126 925642635 960774970 978761462 1048672995 1295899689 1345084958 1441162455 1468142193 1851285270 2017627437 2097345990 2159832815 2446903655 2591799378 2882324910 2936284386 3362712395 4035254874 4319665630 4893807310 6479498445 6725424790 7340710965 10088137185 12958996890 14681421930 20176274370 643815307397 1287630614794 1931445922191 3219076536985 3862891844382 4506707151779 6438153073970 9013414303558 9657229610955 13520121455337 19314459221910 22533535758895 27040242910674 45067071517790 67600607276685 135201214553370