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134443246080 = 293511131719379
BaseRepresentation
bin111110100110101110…
…0010010001000000000
3110212000120200112101110
41331031130102020000
54200314432333310
6141432401203320
712466425510363
oct1751534221000
9425016615343
10134443246080
1152020786730
1222080930540
13c8a7599a20
1467156400da
15376ce90d20
hex1f4d712200

134443246080 has 1280 divisors, whose sum is σ = 564263884800. Its totient is φ = 26754416640.

The previous prime is 134443246079. The next prime is 134443246123. The reversal of 134443246080 is 80642344431.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 354731331 + ... + 354731709.

It is an arithmetic number, because the mean of its divisors is an integer number (440831160).

Almost surely, 2134443246080 is an apocalyptic number.

134443246080 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 134443246080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282131942400).

134443246080 is an abundant number, since it is smaller than the sum of its proper divisors (429820638720).

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

134443246080 is a wasteful number, since it uses less digits than its factorization.

134443246080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 39.

The spelling of 134443246080 in words is "one hundred thirty-four billion, four hundred forty-three million, two hundred forty-six thousand, eighty".