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137745009 = 3336713901
BaseRepresentation
bin10000011010111…
…01001001110001
3100121012011122000
420031131021301
5240230320014
621400204213
73261545643
oct1015351161
9317164560
10137745009
1170831956
123a169669
13226cab2c
1414418893
15c15d509
hex835d271

137745009 has 16 divisors (see below), whose sum is σ = 204637440. Its totient is φ = 91573200.

The previous prime is 137745007. The next prime is 137745011. The reversal of 137745009 is 900547731.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (137745007) and next prime (137745011).

It is not a de Polignac number, because 137745009 - 21 = 137745007 is a prime.

It is not an unprimeable number, because it can be changed into a prime (137745001) 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, 2959 + ... + 16859.

It is an arithmetic number, because the mean of its divisors is an integer number (12789840).

Almost surely, 2137745009 is an apocalyptic number.

It is an amenable number.

137745009 is a deficient number, since it is larger than the sum of its proper divisors (66892431).

137745009 is a wasteful number, since it uses less digits than its factorization.

137745009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14277 (or 14271 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 137745009 is about 11736.4819686310. The cubic root of 137745009 is about 516.4464429935.

The spelling of 137745009 in words is "one hundred thirty-seven million, seven hundred forty-five thousand, nine".

Divisors: 1 3 9 27 367 1101 3303 9909 13901 41703 125109 375327 5101667 15305001 45915003 137745009