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137814037 is a prime number
BaseRepresentation
bin10000011011011…
…10000000010101
3100121022200022121
420031232000111
5240240022122
621401455541
73262254124
oct1015560025
9317280277
10137814037
11708797a9
123a1a15b1
132272338a
1414435abb
15c173bc7
hex836e015

137814037 has 2 divisors, whose sum is σ = 137814038. Its totient is φ = 137814036.

The previous prime is 137814031. The next prime is 137814059. The reversal of 137814037 is 730418731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 104162436 + 33651601 = 10206^2 + 5801^2 .

It is a cyclic number.

It is not a de Polignac number, because 137814037 - 27 = 137813909 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 137813993 and 137814011.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137814031) 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 as a sum of consecutive naturals, namely, 68907018 + 68907019.

It is an arithmetic number, because the mean of its divisors is an integer number (68907019).

Almost surely, 2137814037 is an apocalyptic number.

It is an amenable number.

137814037 is a deficient number, since it is larger than the sum of its proper divisors (1).

137814037 is an equidigital number, since it uses as much as digits as its factorization.

137814037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14112, while the sum is 34.

The square root of 137814037 is about 11739.4223452434. The cubic root of 137814037 is about 516.5326973269.

The spelling of 137814037 in words is "one hundred thirty-seven million, eight hundred fourteen thousand, thirty-seven".