Search a number
-
+
137020733 is a prime number
BaseRepresentation
bin10000010101011…
…00010100111101
3100112211101002222
420022230110331
5240034130413
621332455125
73252441233
oct1012542475
9315741088
10137020733
1170387783
1239a7a4a5
1322506275
14142aa953
15c068b08
hex82ac53d

137020733 has 2 divisors, whose sum is σ = 137020734. Its totient is φ = 137020732.

The previous prime is 137020727. The next prime is 137020753. The reversal of 137020733 is 337020731.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 131721529 + 5299204 = 11477^2 + 2302^2 .

It is a cyclic number.

It is not a de Polignac number, because 137020733 - 24 = 137020717 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137020753) 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, 68510366 + 68510367.

It is an arithmetic number, because the mean of its divisors is an integer number (68510367).

Almost surely, 2137020733 is an apocalyptic number.

It is an amenable number.

137020733 is a deficient number, since it is larger than the sum of its proper divisors (1).

137020733 is an equidigital number, since it uses as much as digits as its factorization.

137020733 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2646, while the sum is 26.

The square root of 137020733 is about 11705.5855470797. The cubic root of 137020733 is about 515.5396774548.

The spelling of 137020733 in words is "one hundred thirty-seven million, twenty thousand, seven hundred thirty-three".