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134221389120 = 26335713533221
BaseRepresentation
bin111110100000000110…
…1111101110101000000
3110211110010020000212000
41331000031331311000
54144341133422440
6141354354104000
712461062661160
oct1750015756500
9424403200760
10134221389120
1151a17525275
122201a57b000
13c87062c010
1466d3dac5a0
15375876a730
hex1f4037dd40

134221389120 has 896 divisors, whose sum is σ = 593953274880. Its totient is φ = 27776286720.

The previous prime is 134221389091. The next prime is 134221389157. The reversal of 134221389120 is 21983122431.

134221389120 is a `hidden beast` number, since 1 + 34 + 221 + 389 + 1 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 41669110 + ... + 41672330.

It is an arithmetic number, because the mean of its divisors is an integer number (662894280).

Almost surely, 2134221389120 is an apocalyptic number.

134221389120 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 134221389120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296976637440).

134221389120 is an abundant number, since it is smaller than the sum of its proper divisors (459731885760).

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

134221389120 is a wasteful number, since it uses less digits than its factorization.

134221389120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3320 (or 3304 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 134221389120 in words is "one hundred thirty-four billion, two hundred twenty-one million, three hundred eighty-nine thousand, one hundred twenty".