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134394750720 = 2833537227463
BaseRepresentation
bin111110100101010001…
…1010010011100000000
3110211220012102201021000
41331022203102130000
54200220024010340
6141423505532000
712465266350446
oct1751243223400
9424805381230
10134394750720
1151aa637341a
1222068644000
13c89a51a449
14670d018b96
153768ab1d30
hex1f4a8d2700

134394750720 has 576 divisors, whose sum is σ = 493024573440. Its totient is φ = 34641395712.

The previous prime is 134394750703. The next prime is 134394750739. The reversal of 134394750720 is 27057493431.

134394750720 is a `hidden beast` number, since 1 + 34 + 3 + 94 + 7 + 507 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 290269209 + ... + 290269671.

It is an arithmetic number, because the mean of its divisors is an integer number (855945440).

Almost surely, 2134394750720 is an apocalyptic number.

134394750720 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 134394750720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246512286720).

134394750720 is an abundant number, since it is smaller than the sum of its proper divisors (358629822720).

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

134394750720 is a wasteful number, since it uses less digits than its factorization.

134394750720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 757 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 134394750720 in words is "one hundred thirty-four billion, three hundred ninety-four million, seven hundred fifty thousand, seven hundred twenty".