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137144913 = 3672832411
BaseRepresentation
bin10000010110010…
…10101001010001
3100120001200110020
420023022221101
5240102114123
621335254053
73253466253
oct1013125121
9316050406
10137144913
1170462004
1239b1a329
132254a949
14142ddcd3
15c0907e3
hex82caa51

137144913 has 16 divisors (see below), whose sum is σ = 186322176. Its totient is φ = 89709840.

The previous prime is 137144893. The next prime is 137144927. The reversal of 137144913 is 319441731.

It is not a de Polignac number, because 137144913 - 29 = 137144401 is a prime.

It is not an unprimeable number, because it can be changed into a prime (137144993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55678 + ... + 58088.

It is an arithmetic number, because the mean of its divisors is an integer number (11645136).

Almost surely, 2137144913 is an apocalyptic number.

It is an amenable number.

137144913 is a deficient number, since it is larger than the sum of its proper divisors (49177263).

137144913 is a wasteful number, since it uses less digits than its factorization.

137144913 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2764.

The product of its digits is 9072, while the sum is 33.

The square root of 137144913 is about 11710.8886511656. Note that the first 3 decimals coincide. The cubic root of 137144913 is about 515.6953725953.

The spelling of 137144913 in words is "one hundred thirty-seven million, one hundred forty-four thousand, nine hundred thirteen".

Divisors: 1 3 67 201 283 849 2411 7233 18961 56883 161537 484611 682313 2046939 45714971 137144913