Search a number
-
+
137720477 is a prime number
BaseRepresentation
bin10000011010101…
…11001010011101
3100121010220222102
420031113022131
5240224023402
621355454445
73261414266
oct1015271235
9317126872
10137720477
1170815484
123a157425
13226bc90b
141440d96d
15c156102
hex835729d

137720477 has 2 divisors, whose sum is σ = 137720478. Its totient is φ = 137720476.

The previous prime is 137720419. The next prime is 137720509. The reversal of 137720477 is 774027731.

It is a happy number.

137720477 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 137217796 + 502681 = 11714^2 + 709^2 .

It is a cyclic number.

It is not a de Polignac number, because 137720477 - 28 = 137720221 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 137720477.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137720377) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68860238 + 68860239.

It is an arithmetic number, because the mean of its divisors is an integer number (68860239).

Almost surely, 2137720477 is an apocalyptic number.

It is an amenable number.

137720477 is a deficient number, since it is larger than the sum of its proper divisors (1).

137720477 is an equidigital number, since it uses as much as digits as its factorization.

137720477 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 57624, while the sum is 38.

The square root of 137720477 is about 11735.4368048232. The cubic root of 137720477 is about 516.4157819519.

The spelling of 137720477 in words is "one hundred thirty-seven million, seven hundred twenty thousand, four hundred seventy-seven".