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137384831 is a prime number
BaseRepresentation
bin10000011000001…
…01001101111111
3100120111212120002
420030011031333
5240132303311
621344344515
73255515603
oct1014051577
9316455502
10137384831
1170606291
123a01513b
1322602bcc
1414363503
15c0db93b
hex830537f

137384831 has 2 divisors, whose sum is σ = 137384832. Its totient is φ = 137384830.

The previous prime is 137384771. The next prime is 137384869. The reversal of 137384831 is 138483731.

137384831 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (137384869) can be obtained adding 137384831 to its sum of digits (38).

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-137384831 is a prime.

It is a super-2 number, since 2×1373848312 = 37749183577797122, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137384881) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68692415 + 68692416.

It is an arithmetic number, because the mean of its divisors is an integer number (68692416).

Almost surely, 2137384831 is an apocalyptic number.

137384831 is a deficient number, since it is larger than the sum of its proper divisors (1).

137384831 is an equidigital number, since it uses as much as digits as its factorization.

137384831 is an evil number, because the sum of its binary digits is even.

The product of its digits is 48384, while the sum is 38.

The square root of 137384831 is about 11721.1275481500. The cubic root of 137384831 is about 515.9959124228.

The spelling of 137384831 in words is "one hundred thirty-seven million, three hundred eighty-four thousand, eight hundred thirty-one".