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137437147360200 = 23352265786210731
BaseRepresentation
bin11111001111111110010100…
…010110001110101111001000
3200000121212022002212001111110
4133033332110112032233020
5121003232234211011300
61204145430500330320
740643335430214462
oct3717762426165710
9600555262761443
10137437147360200
113a878848784456
12134b82a66a39a0
135b8c3625a334c
1425d1dc9d5b132
1510d50c79e1550
hex7cff9458ebc8

137437147360200 has 96 divisors (see below), whose sum is σ = 426215513720160. Its totient is φ = 36636111820800.

The previous prime is 137437147360147. The next prime is 137437147360237. The reversal of 137437147360200 is 2063741734731.

It is a self number, because there is not a number n which added to its sum of digits gives 137437147360200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41511166 + ... + 44699565.

It is an arithmetic number, because the mean of its divisors is an integer number (4439744934585).

Almost surely, 2137437147360200 is an apocalyptic number.

137437147360200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137437147360200 is an abundant number, since it is smaller than the sum of its proper divisors (288778366359960).

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

137437147360200 is a wasteful number, since it uses less digits than its factorization.

137437147360200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86213407 (or 86213398 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 48.

The spelling of 137437147360200 in words is "one hundred thirty-seven trillion, four hundred thirty-seven billion, one hundred forty-seven million, three hundred sixty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 2657 5314 7971 10628 13285 15942 21256 26570 31884 39855 53140 63768 66425 79710 106280 132850 159420 199275 265700 318840 398550 531400 797100 1594200 86210731 172421462 258632193 344842924 431053655 517264386 689685848 862107310 1034528772 1293160965 1724214620 2069057544 2155268275 2586321930 3448429240 4310536550 5172643860 6465804825 8621073100 10345287720 12931609650 17242146200 25863219300 51726438600 229061912267 458123824534 687185736801 916247649068 1145309561335 1374371473602 1832495298136 2290619122670 2748742947204 3435928684005 4581238245340 5497485894408 5726547806675 6871857368010 9162476490680 11453095613350 13743714736020 17179643420025 22906191226700 27487429472040 34359286840050 45812382453400 68718573680100 137437147360200