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134081758080 = 2733517226849
BaseRepresentation
bin111110011011111100…
…1010100001110000000
3110211002101111001002000
41330313321110032000
54144044412224310
6141332445224000
712454446065454
oct1746771241600
9424071431060
10134081758080
1151955725416
1221b9b862000
13c84a7208ba
1466bd622664
15374b3884c0
hex1f37e54380

134081758080 has 384 divisors, whose sum is σ = 504468540000. Its totient is φ = 33650638848.

The previous prime is 134081758049. The next prime is 134081758117. The reversal of 134081758080 is 80857180431.

It is a happy number.

134081758080 is a `hidden beast` number, since 13 + 40 + 8 + 17 + 580 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×1340817580803 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 4980496 + ... + 5007344.

Almost surely, 2134081758080 is an apocalyptic number.

134081758080 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 134081758080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252234270000).

134081758080 is an abundant number, since it is smaller than the sum of its proper divisors (370386781920).

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

134081758080 is a wasteful number, since it uses less digits than its factorization.

134081758080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26911 (or 26876 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 134081758080 in words is "one hundred thirty-four billion, eighty-one million, seven hundred fifty-eight thousand, eighty".