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134746675662144 = 26371326872870171
BaseRepresentation
bin11110101000110100100111…
…101111001100110101000000
3122200002122201111200200211110
4132220310213233030311000
5120130142142432142034
61154325433534443320
740245061144135020
oct3650644757146500
9580078644620743
10134746675662144
1139a30820633287
1213142985063540
135a25731936540
14253bab981da80
15108a10c1e1de9
hex7a8d27bccd40

134746675662144 has 224 divisors, whose sum is σ = 438953910829056. Its totient is φ = 35524346664960.

The previous prime is 134746675662127. The next prime is 134746675662191. The reversal of 134746675662144 is 441266576647431.

134746675662144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45512179 + ... + 48382349.

It is an arithmetic number, because the mean of its divisors is an integer number (1959615673344).

Almost surely, 2134746675662144 is an apocalyptic number.

134746675662144 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 134746675662144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219476955414528).

134746675662144 is an abundant number, since it is smaller than the sum of its proper divisors (304207235166912).

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

134746675662144 is a wasteful number, since it uses less digits than its factorization.

134746675662144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2872893 (or 2872883 counting only the distinct ones).

The product of its digits is 487710720, while the sum is 66.

The spelling of 134746675662144 in words is "one hundred thirty-four trillion, seven hundred forty-six billion, six hundred seventy-five million, six hundred sixty-two thousand, one hundred forty-four".