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137145013 = 473737823
BaseRepresentation
bin10000010110010…
…10101010110101
3100120001200120221
420023022222311
5240102120023
621335254341
73253466455
oct1013125265
9316050527
10137145013
1170462095
1239b1a3b1
132254a9c5
14142ddd65
15c09085d
hex82caab5

137145013 has 8 divisors (see below), whose sum is σ = 140456448. Its totient is φ = 133850064.

The previous prime is 137145007. The next prime is 137145037. The reversal of 137145013 is 310541731.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 137145013 - 213 = 137136821 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137145053) 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 7 ways as a sum of consecutive naturals, for example, 13620 + ... + 21442.

It is an arithmetic number, because the mean of its divisors is an integer number (17557056).

Almost surely, 2137145013 is an apocalyptic number.

It is an amenable number.

137145013 is a deficient number, since it is larger than the sum of its proper divisors (3311435).

137145013 is an equidigital number, since it uses as much as digits as its factorization.

137145013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8243.

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 137145013 is about 11710.8929206957. The cubic root of 137145013 is about 515.6954979360.

Adding to 137145013 its reverse (310541731), we get a palindrome (447686744).

The spelling of 137145013 in words is "one hundred thirty-seven million, one hundred forty-five thousand, thirteen".

Divisors: 1 47 373 7823 17531 367681 2917979 137145013