Search a number
-
+
137720029 is a prime number
BaseRepresentation
bin10000011010101…
…11000011011101
3100121010220100211
420031113003131
5240224020104
621355452421
73261413056
oct1015270335
9317126324
10137720029
1170815107
123a157111
13226bc655
141440d72d
15c155e04
hex83570dd

137720029 has 2 divisors, whose sum is σ = 137720030. Its totient is φ = 137720028.

The previous prime is 137720027. The next prime is 137720039. The reversal of 137720029 is 920027731.

137720029 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 136936804 + 783225 = 11702^2 + 885^2 .

It is a cyclic number.

It is not a de Polignac number, because 137720029 - 21 = 137720027 is a prime.

Together with 137720027, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137720027) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68860014 + 68860015.

It is an arithmetic number, because the mean of its divisors is an integer number (68860015).

Almost surely, 2137720029 is an apocalyptic number.

It is an amenable number.

137720029 is a deficient number, since it is larger than the sum of its proper divisors (1).

137720029 is an equidigital number, since it uses as much as digits as its factorization.

137720029 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5292, while the sum is 31.

The square root of 137720029 is about 11735.4177173205. The cubic root of 137720029 is about 516.4152219904.

The spelling of 137720029 in words is "one hundred thirty-seven million, seven hundred twenty thousand, twenty-nine".