Search a number
-
+
134360227680 = 25357158325261
BaseRepresentation
bin111110100100001111…
…1100101111101100000
3110211210210110202112220
41331020133211331200
54200132204241210
6141420233551040
712464400043260
oct1751037457540
9424723422486
10134360227680
1151a88933788
1222058b75480
13c893320803
1467085cd7a0
153765a42c70
hex1f487e5f60

134360227680 has 192 divisors, whose sum is σ = 484021536768. Its totient is φ = 30690293760.

The previous prime is 134360227633. The next prime is 134360227681. The reversal of 134360227680 is 86722063431.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134360227681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5306250 + ... + 5331510.

It is an arithmetic number, because the mean of its divisors is an integer number (2520945504).

Almost surely, 2134360227680 is an apocalyptic number.

134360227680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134360227680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242010768384).

134360227680 is an abundant number, since it is smaller than the sum of its proper divisors (349661309088).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

134360227680 is a wasteful number, since it uses less digits than its factorization.

134360227680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26869 (or 26861 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The spelling of 134360227680 in words is "one hundred thirty-four billion, three hundred sixty million, two hundred twenty-seven thousand, six hundred eighty".