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137127849 = 33110191447
BaseRepresentation
bin10000010110001…
…10011110101001
3100120000211001020
420023012132221
5240101042344
621335043053
73253365435
oct1013063651
9316024036
10137127849
1170450201
1239b10489
1322542c51
14142d79c5
15c08a719
hex82c67a9

137127849 has 16 divisors (see below), whose sum is σ = 189050880. Its totient is φ = 88321680.

The previous prime is 137127839. The next prime is 137127853. The reversal of 137127849 is 948721731.

It is not a de Polignac number, because 137127849 - 215 = 137095081 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 137127849.

It is not an unprimeable number, because it can be changed into a prime (137127839) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94044 + ... + 95490.

It is an arithmetic number, because the mean of its divisors is an integer number (11815680).

Almost surely, 2137127849 is an apocalyptic number.

It is an amenable number.

137127849 is a deficient number, since it is larger than the sum of its proper divisors (51923031).

137127849 is a wasteful number, since it uses less digits than its factorization.

137127849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2500.

The product of its digits is 84672, while the sum is 42.

The square root of 137127849 is about 11710.1600757633. The cubic root of 137127849 is about 515.6739835632.

The spelling of 137127849 in words is "one hundred thirty-seven million, one hundred twenty-seven thousand, eight hundred forty-nine".

Divisors: 1 3 31 93 1019 1447 3057 4341 31589 44857 94767 134571 1474493 4423479 45709283 137127849