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134804756736 = 2834134112197
BaseRepresentation
bin111110110001011111…
…1010101100100000000
3110212221202221011210000
41331202333111210000
54202040004203421
6141532313440000
712511405345326
oct1754277254400
9425852834700
10134804756736
1152196852a71
1222161a10000
13c934453260
14674b665d16
15378eaa0226
hex1f62fd5900

134804756736 has 360 divisors, whose sum is σ = 443478148344. Its totient is φ = 40463400960.

The previous prime is 134804756729. The next prime is 134804756761. The reversal of 134804756736 is 637657408431.

It is a happy number.

134804756736 is a `hidden beast` number, since 1 + 3 + 4 + 8 + 0 + 47 + 567 + 36 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 74649600 + 134730107136 = 8640^2 + 367056^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11046190 + ... + 11058386.

Almost surely, 2134804756736 is an apocalyptic number.

134804756736 is a gapful number since it is divisible by the number (16) 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 134804756736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221739074172).

134804756736 is an abundant number, since it is smaller than the sum of its proper divisors (308673391608).

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

134804756736 is a wasteful number, since it uses less digits than its factorization.

134804756736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12279 (or 12256 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 134804756736 in words is "one hundred thirty-four billion, eight hundred four million, seven hundred fifty-six thousand, seven hundred thirty-six".