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134916320 = 25571147233
BaseRepresentation
bin10000000101010…
…10100011100000
3100101212110101202
420002222203200
5234014310240
621215420332
73225525020
oct1002524340
9311773352
10134916320
116a17a6a0
12392246a8
1321c4a456
1413cbda80
15bca0315
hex80aa8e0

134916320 has 192 divisors, whose sum is σ = 407586816. Its totient is φ = 40980480.

The previous prime is 134916317. The next prime is 134916329. The reversal of 134916320 is 23619431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134916329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 578924 + ... + 579156.

It is an arithmetic number, because the mean of its divisors is an integer number (2122848).

Almost surely, 2134916320 is an apocalyptic number.

134916320 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 134916320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203793408).

134916320 is an abundant number, since it is smaller than the sum of its proper divisors (272670496).

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

134916320 is a wasteful number, since it uses less digits than its factorization.

134916320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 29.

The square root of 134916320 is about 11615.3484665765. The cubic root of 134916320 is about 512.8867689197.

The spelling of 134916320 in words is "one hundred thirty-four million, nine hundred sixteen thousand, three hundred twenty".