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137401919 is a prime number
BaseRepresentation
bin10000011000010…
…01011000111111
3100120112201222222
420030021120333
5240133330134
621344555555
73255616454
oct1014113077
9316481888
10137401919
1170618106
123a022bbb
132260a915
141436982b
15c0e1a2e
hex830963f

137401919 has 2 divisors, whose sum is σ = 137401920. Its totient is φ = 137401918.

The previous prime is 137401909. The next prime is 137401921. The reversal of 137401919 is 919104731.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-137401919 is a prime.

It is a super-2 number, since 2×1374019192 = 37758574689765122, which contains 22 as substring.

Together with 137401921, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137401909) 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 as a sum of consecutive naturals, namely, 68700959 + 68700960.

It is an arithmetic number, because the mean of its divisors is an integer number (68700960).

Almost surely, 2137401919 is an apocalyptic number.

137401919 is a deficient number, since it is larger than the sum of its proper divisors (1).

137401919 is an equidigital number, since it uses as much as digits as its factorization.

137401919 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6804, while the sum is 35.

The square root of 137401919 is about 11721.8564655945. The cubic root of 137401919 is about 516.0173048200.

The spelling of 137401919 in words is "one hundred thirty-seven million, four hundred one thousand, nine hundred nineteen".