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134124806077248 = 2637253032688377
BaseRepresentation
bin11110011111110001011101…
…011010111111101101000000
3122120220012120100100121202110
4132133301131122333231000
5120040000100323432443
61153132030231215320
740152124504651200
oct3637613532775500
9576805510317673
10134124806077248
1139811013449988
1213062352217540
1359abbb818976c
142519964c66400
151078d62407233
hex79fc5d6bfb40

134124806077248 has 168 divisors, whose sum is σ = 412888147543872. Its totient is φ = 38314132555776.

The previous prime is 134124806077237. The next prime is 134124806077289. The reversal of 134124806077248 is 842770608421431.

It is a happy number.

134124806077248 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 (168).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48546436 + ... + 51234812.

It is an arithmetic number, because the mean of its divisors is an integer number (2457667544904).

Almost surely, 2134124806077248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134124806077248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206444073771936).

134124806077248 is an abundant number, since it is smaller than the sum of its proper divisors (278763341466624).

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

134124806077248 is a wasteful number, since it uses less digits than its factorization.

134124806077248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2693709 (or 2693692 counting only the distinct ones).

The product of its (nonzero) digits is 14450688, while the sum is 57.

The spelling of 134124806077248 in words is "one hundred thirty-four trillion, one hundred twenty-four billion, eight hundred six million, seventy-seven thousand, two hundred forty-eight".