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134916980 = 225114911249
BaseRepresentation
bin10000000101010…
…10101101110100
3100101212111022012
420002222231310
5234014320410
621215423352
73225526652
oct1002525564
9311774265
10134916980
116a180140
1239224b58
1321c4a843
1413cbddd2
15bca0605
hex80aab74

134916980 has 48 divisors (see below), whose sum is σ = 309960000. Its totient is φ = 48921600.

The previous prime is 134916973. The next prime is 134916989. The reversal of 134916980 is 89619431.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134916989) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107396 + ... + 108644.

It is an arithmetic number, because the mean of its divisors is an integer number (6457500).

Almost surely, 2134916980 is an apocalyptic number.

134916980 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 134916980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154980000).

134916980 is an abundant number, since it is smaller than the sum of its proper divisors (175043020).

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

134916980 is a wasteful number, since it uses less digits than its factorization.

134916980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1760 (or 1758 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 41.

The square root of 134916980 is about 11615.3768772262. The cubic root of 134916980 is about 512.8876052522.

The spelling of 134916980 in words is "one hundred thirty-four million, nine hundred sixteen thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 491 982 1249 1964 2455 2498 4910 4996 5401 6245 9820 10802 12490 13739 21604 24980 27005 27478 54010 54956 68695 108020 137390 274780 613259 1226518 2453036 3066295 6132590 6745849 12265180 13491698 26983396 33729245 67458490 134916980