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134771409360 = 2434578335797
BaseRepresentation
bin111110110000100000…
…0001000000111010000
3110212212110011221210000
41331201000020013100
54202002440044420
6141525123010000
712510522035550
oct1754100100720
9425773157700
10134771409360
1152179a46655
1222152809900
13c92a578793
146747065160
15378bbb4690
hex1f610081d0

134771409360 has 400 divisors, whose sum is σ = 541410097536. Its totient is φ = 30432900096.

The previous prime is 134771409359. The next prime is 134771409379. The reversal of 134771409360 is 63904177431.

134771409360 is a `hidden beast` number, since 1 + 3 + 477 + 140 + 9 + 36 + 0 = 666.

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 (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3746982 + ... + 3782778.

Almost surely, 2134771409360 is an apocalyptic number.

134771409360 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 134771409360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270705048768).

134771409360 is an abundant number, since it is smaller than the sum of its proper divisors (406638688176).

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

134771409360 is a wasteful number, since it uses less digits than its factorization.

134771409360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35912 (or 35897 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 134771409360 in words is "one hundred thirty-four billion, seven hundred seventy-one million, four hundred nine thousand, three hundred sixty".