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134126218044 = 22327213172691279
BaseRepresentation
bin111110011101010001…
…0111010101100111100
3110211012111010211200100
41330322202322230330
54144142302434134
6141341114201100
712455526020400
oct1747242725474
9424174124610
10134126218044
1151978831895
1221bb2723190
13c8569b9480
1466c54b7100
15375021b999
hex1f3a8bab3c

134126218044 has 432 divisors, whose sum is σ = 451742054400. Its totient is φ = 33143427072.

The previous prime is 134126218013. The next prime is 134126218067. The reversal of 134126218044 is 440812621431.

134126218044 is a `hidden beast` number, since 1 + 3 + 412 + 62 + 180 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 104867397 + ... + 104868675.

It is an arithmetic number, because the mean of its divisors is an integer number (1045699200).

Almost surely, 2134126218044 is an apocalyptic number.

134126218044 is a gapful number since it is divisible by the number (14) 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 134126218044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225871027200).

134126218044 is an abundant number, since it is smaller than the sum of its proper divisors (317615836356).

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

134126218044 is a wasteful number, since it uses less digits than its factorization.

134126218044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1602 (or 1590 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

Adding to 134126218044 its reverse (440812621431), we get a palindrome (574938839475).

The spelling of 134126218044 in words is "one hundred thirty-four billion, one hundred twenty-six million, two hundred eighteen thousand, forty-four".