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137126363 = 11193731759
BaseRepresentation
bin10000010110001…
…10000111011011
3100120000202000012
420023012013123
5240101020423
621335032135
73253361213
oct1013060733
9316022005
10137126363
117044a080
1239b0b64b
132254237a
14142d7243
15c08a078
hex82c61db

137126363 has 16 divisors (see below), whose sum is σ = 157977600. Its totient is φ = 117715680.

The previous prime is 137126333. The next prime is 137126371. The reversal of 137126363 is 363621731.

It is a cyclic number.

It is not a de Polignac number, because 137126363 - 214 = 137109979 is a prime.

It is not an unprimeable number, because it can be changed into a prime (137126333) 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, 77078 + ... + 78836.

It is an arithmetic number, because the mean of its divisors is an integer number (9873600).

Almost surely, 2137126363 is an apocalyptic number.

137126363 is a deficient number, since it is larger than the sum of its proper divisors (20851237).

137126363 is a wasteful number, since it uses less digits than its factorization.

137126363 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2162.

The product of its digits is 13608, while the sum is 32.

The square root of 137126363 is about 11710.0966264160. The cubic root of 137126363 is about 515.6721208385.

The spelling of 137126363 in words is "one hundred thirty-seven million, one hundred twenty-six thousand, three hundred sixty-three".

Divisors: 1 11 19 209 373 1759 4103 7087 19349 33421 77957 367631 656107 7217177 12466033 137126363