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134323134000 = 24353114149639
BaseRepresentation
bin111110100011001001…
…0000101111000110000
3110211201012200012120220
41331012102011320300
54200043210242000
6141412430533040
712463436541366
oct1750622057060
9424635605526
10134323134000
1151a699a8750
1222048667180
13c888733aa3
1467036d5636
1537626671a0
hex1f46485e30

134323134000 has 320 divisors, whose sum is σ = 483959024640. Its totient is φ = 31768320000.

The previous prime is 134323133999. The next prime is 134323134007. The reversal of 134323134000 is 431323431.

134323134000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (134323134007) 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 63 ways as a sum of consecutive naturals, for example, 2681181 + ... + 2730819.

It is an arithmetic number, because the mean of its divisors is an integer number (1512371952).

Almost surely, 2134323134000 is an apocalyptic number.

134323134000 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 134323134000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241979512320).

134323134000 is an abundant number, since it is smaller than the sum of its proper divisors (349635890640).

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

134323134000 is a wasteful number, since it uses less digits than its factorization.

134323134000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49717 (or 49701 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 134323134000 its reverse (431323431), we get a palindrome (134754457431).

The spelling of 134323134000 in words is "one hundred thirty-four billion, three hundred twenty-three million, one hundred thirty-four thousand".