Search a number
-
+
137865037 is a prime number
BaseRepresentation
bin10000011011110…
…10011101001101
3100121102021021111
420031322131031
5240243140122
621402532021
73262555612
oct1015723515
9317367244
10137865037
1170904052
123a207011
132274065b
141444a509
15c183d77
hex837a74d

137865037 has 2 divisors, whose sum is σ = 137865038. Its totient is φ = 137865036.

The previous prime is 137865023. The next prime is 137865041. The reversal of 137865037 is 730568731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 80802121 + 57062916 = 8989^2 + 7554^2 .

It is an emirp because it is prime and its reverse (730568731) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-137865037 is a prime.

It is a super-2 number, since 2×1378650372 = 38013536854022738, which contains 22 as substring.

It is equal to p7798342 and since 137865037 and 7798342 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 (137865097) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68932518 + 68932519.

It is an arithmetic number, because the mean of its divisors is an integer number (68932519).

Almost surely, 2137865037 is an apocalyptic number.

It is an amenable number.

137865037 is a deficient number, since it is larger than the sum of its proper divisors (1).

137865037 is an equidigital number, since it uses as much as digits as its factorization.

137865037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 105840, while the sum is 40.

The square root of 137865037 is about 11741.5943125284. The cubic root of 137865037 is about 516.5964061702.

It can be divided in two parts, 1378650 and 37, that multiplied together give a triangular number (51010050 = T10100).

The spelling of 137865037 in words is "one hundred thirty-seven million, eight hundred sixty-five thousand, thirty-seven".