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134066756736 = 273211174143353
BaseRepresentation
bin111110011011100000…
…0000101110010000000
3110211001100020220002200
41330313000011302000
54144032042203421
6141331151513200
712454204425663
oct1746700056200
9424040226080
10134066756736
1151948209710
1221b96828800
13c84759a773
1466bb6396da
153749dc3726
hex1f37005c80

134066756736 has 768 divisors, whose sum is σ = 468427639680. Its totient is φ = 36333158400.

The previous prime is 134066756713. The next prime is 134066756737. The reversal of 134066756736 is 637657660431.

It is a happy number.

134066756736 is a `hidden beast` number, since 1 + 3 + 40 + 6 + 6 + 7 + 567 + 36 = 666.

It is not an unprimeable number, because it can be changed into a prime (134066756737) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 379792336 + ... + 379792688.

Almost surely, 2134066756736 is an apocalyptic number.

134066756736 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 134066756736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234213819840).

134066756736 is an abundant number, since it is smaller than the sum of its proper divisors (334360882944).

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

134066756736 is a wasteful number, since it uses less digits than its factorization.

134066756736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 54.

The spelling of 134066756736 in words is "one hundred thirty-four billion, sixty-six million, seven hundred fifty-six thousand, seven hundred thirty-six".