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137727135747860 = 22547638392295121
BaseRepresentation
bin11111010100001100011001…
…000000001000111100010100
3200001122120210220011110222112
4133110030121000020330110
5121023010133222412420
61204530550034050152
741003312546642021
oct3724143100107424
9601576726143875
10137727135747860
113a97a82865516a
1213544537119958
135bb07c81aa089
142602059596548
1510dc8eb29b8c5
hex7d4319008f14

137727135747860 has 48 divisors (see below), whose sum is σ = 295385506375680. Its totient is φ = 53917840366080.

The previous prime is 137727135747847. The next prime is 137727135747893. The reversal of 137727135747860 is 68747531727731.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58861100 + ... + 61156220.

It is an arithmetic number, because the mean of its divisors is an integer number (6153864716160).

Almost surely, 2137727135747860 is an apocalyptic number.

137727135747860 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137727135747860 is an abundant number, since it is smaller than the sum of its proper divisors (157658370627820).

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

137727135747860 is a wasteful number, since it uses less digits than its factorization.

137727135747860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2359016 (or 2359014 counting only the distinct ones).

The product of its (nonzero) digits is 290424960, while the sum is 68.

The spelling of 137727135747860 in words is "one hundred thirty-seven trillion, seven hundred twenty-seven billion, one hundred thirty-five million, seven hundred forty-seven thousand, eight hundred sixty".

Divisors: 1 2 4 5 10 20 47 94 188 235 470 940 63839 127678 255356 319195 638390 1276780 2295121 3000433 4590242 6000866 9180484 11475605 12001732 15002165 22951210 30004330 45902420 60008660 107870687 215741374 431482748 539353435 1078706870 2157413740 146518229519 293036459038 586072918076 732591147595 1465182295190 2930364590380 6886356787393 13772713574786 27545427149572 34431783936965 68863567873930 137727135747860