Search a number
-
+
137386519 is a prime number
BaseRepresentation
bin10000011000001…
…01101000010111
3100120111221212121
420030011220113
5240132332034
621344400411
73255523534
oct1014055027
9316457777
10137386519
1170607586
123a016107
13226038ca
1414363d8b
15c0dc1b4
hex8305a17

137386519 has 2 divisors, whose sum is σ = 137386520. Its totient is φ = 137386518.

The previous prime is 137386433. The next prime is 137386553. The reversal of 137386519 is 915683731.

It is a strong prime.

It is an emirp because it is prime and its reverse (915683731) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 137386519 - 215 = 137353751 is a prime.

It is a super-2 number, since 2×1373865192 = 37750111205874722, which contains 22 as substring.

It is equal to p7772794 and since 137386519 and 7772794 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137386589) 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, 68693259 + 68693260.

It is an arithmetic number, because the mean of its divisors is an integer number (68693260).

Almost surely, 2137386519 is an apocalyptic number.

137386519 is a deficient number, since it is larger than the sum of its proper divisors (1).

137386519 is an equidigital number, since it uses as much as digits as its factorization.

137386519 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 136080, while the sum is 43.

The square root of 137386519 is about 11721.1995546531. The cubic root of 137386519 is about 515.9980257020.

The spelling of 137386519 in words is "one hundred thirty-seven million, three hundred eighty-six thousand, five hundred nineteen".