Search a number
-
+
137138369863 = 111371994311061
BaseRepresentation
bin111111110111000010…
…1010111010101000111
3111002222102001000011211
41333232011113111013
54221324410313423
6143000035112251
712623262624205
oct1775605272507
9432872030154
10137138369863
1153184042060
12226b3442687
13cc16a66b21
1468cd564075
1538798b110d
hex1fee157547

137138369863 has 32 divisors (see below), whose sum is σ = 151949260800. Its totient is φ = 122737824000.

The previous prime is 137138369857. The next prime is 137138369899. The reversal of 137138369863 is 368963831731.

It is a happy number.

It is not a de Polignac number, because 137138369863 - 25 = 137138369831 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 137138369798 and 137138369807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137138369833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 129253353 + ... + 129254413.

It is an arithmetic number, because the mean of its divisors is an integer number (4748414400).

Almost surely, 2137138369863 is an apocalyptic number.

137138369863 is a deficient number, since it is larger than the sum of its proper divisors (14810890937).

137138369863 is a wasteful number, since it uses less digits than its factorization.

137138369863 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1839.

The product of its digits is 11757312, while the sum is 58.

The spelling of 137138369863 in words is "one hundred thirty-seven billion, one hundred thirty-eight million, three hundred sixty-nine thousand, eight hundred sixty-three".

Divisors: 1 11 137 199 431 1061 1507 2189 4741 11671 27263 59047 85769 145357 211139 299893 457291 649517 943459 1598927 2322529 5030201 11750353 28926043 62648867 91000909 129253883 318186473 689137537 1001009999 12467124533 137138369863