Search a number
-
+
134136404000 = 25531571671279
BaseRepresentation
bin111110011101100100…
…1110001100000100000
3110211020012022100011222
41330323021301200200
54144202404412000
6141342120354212
712456011423144
oct1747311614040
9424205270158
10134136404000
1151983559735
1221bb6015968
13c858b44871
1466c69a9224
15375107ea85
hex1f3b271820

134136404000 has 192 divisors, whose sum is σ = 333919272960. Its totient is φ = 52952140800.

The previous prime is 134136403987. The next prime is 134136404009. The reversal of 134136404000 is 404631431.

134136404000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (134136404009) 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 31 ways as a sum of consecutive naturals, for example, 104875361 + ... + 104876639.

It is an arithmetic number, because the mean of its divisors is an integer number (1739162880).

Almost surely, 2134136404000 is an apocalyptic number.

134136404000 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 134136404000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166959636480).

134136404000 is an abundant number, since it is smaller than the sum of its proper divisors (199782868960).

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

134136404000 is a wasteful number, since it uses less digits than its factorization.

134136404000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1628 (or 1610 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The spelling of 134136404000 in words is "one hundred thirty-four billion, one hundred thirty-six million, four hundred four thousand".