Search a number
-
+
137465929081 = 1319619123643
BaseRepresentation
bin1000000000000110011…
…0111001110101111001
3111010211020101201221201
42000001212321311321
54223012234212311
6143052335534201
712634351055305
oct2000146716571
9433736351851
10137465929081
1153331a2a158
122278508a361
13cc69893950
146920c6cd05
1538985159c1
hex20019b9d79

137465929081 has 16 divisors (see below), whose sum is σ = 158386459840. Its totient is φ = 118242400320.

The previous prime is 137465928979. The next prime is 137465929093. The reversal of 137465929081 is 180929564731.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 137465929081 - 217 = 137465798009 is a prime.

It is a super-2 number, since 2×1374659290812 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137465929681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4546755 + ... + 4576888.

It is an arithmetic number, because the mean of its divisors is an integer number (9899153740).

It is a 1-persistent number, because it is pandigital, but 2⋅137465929081 = 274931858162 is not.

Almost surely, 2137465929081 is an apocalyptic number.

It is an amenable number.

137465929081 is a deficient number, since it is larger than the sum of its proper divisors (20920530759).

137465929081 is a wasteful number, since it uses less digits than its factorization.

137465929081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9123736.

The product of its (nonzero) digits is 3265920, while the sum is 55.

The spelling of 137465929081 in words is "one hundred thirty-seven billion, four hundred sixty-five million, nine hundred twenty-nine thousand, eighty-one".

Divisors: 1 13 19 61 247 793 1159 15067 9123643 118607359 173349217 556542223 2253539821 7235048899 10574302237 137465929081