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135427120244000 = 2553132604367697
BaseRepresentation
bin11110110010101110010101…
…011001010010010100100000
3122202111201001212012220222022
4132302232111121102110200
5120222314220240302000
61200010205443401012
740345200200506454
oct3662562531222440
9582451055186868
10135427120244000
113a173356888882
1213232824683168
135a74951849330
1425629c98ca664
15109cb8459b585
hex7b2b95652520

135427120244000 has 96 divisors (see below), whose sum is σ = 358340160303216. Its totient is φ = 50003859763200.

The previous prime is 135427120243949. The next prime is 135427120244027. The reversal of 135427120244000 is 442021724531.

It can be written as a sum of positive squares in 8 ways, for example, as 739675681936 + 134687444562064 = 860044^2 + 11605492^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1302131849 + ... + 1302235848.

Almost surely, 2135427120244000 is an apocalyptic number.

135427120244000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135427120244000 is an abundant number, since it is smaller than the sum of its proper divisors (222913040059216).

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

135427120244000 is a wasteful number, since it uses less digits than its factorization.

135427120244000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2604367735 (or 2604367717 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 35.

Adding to 135427120244000 its reverse (442021724531), we get a palindrome (135869141968531).

The spelling of 135427120244000 in words is "one hundred thirty-five trillion, four hundred twenty-seven billion, one hundred twenty million, two hundred forty-four thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 65 80 100 104 125 130 160 200 208 250 260 325 400 416 500 520 650 800 1000 1040 1300 1625 2000 2080 2600 3250 4000 5200 6500 10400 13000 26000 52000 2604367697 5208735394 10417470788 13021838485 20834941576 26043676970 33856780061 41669883152 52087353940 65109192425 67713560122 83339766304 104174707880 130218384850 135427120244 169283900305 208349415760 260436769700 270854240488 325545962125 338567800610 416698831520 520873539400 541708480976 651091924250 677135601220 846419501525 1041747078800 1083416961952 1302183848500 1354271202440 1692839003050 2083494157600 2604367697000 2708542404880 3385678006100 4232097507625 5208735394000 5417084809760 6771356012200 8464195015250 10417470788000 13542712024400 16928390030500 27085424048800 33856780061000 67713560122000 135427120244000