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134478680 = 23573311451
BaseRepresentation
bin10000000001111…
…11101101011000
3100101001020001212
420000333231120
5233411304210
621202202252
73222023060
oct1000775530
9311036055
10134478680
1169a00906
1239053388
1321b261ab
1413c083a0
15bc15805
hex803fb58

134478680 has 64 divisors (see below), whose sum is σ = 347086080. Its totient is φ = 45936000.

The previous prime is 134478671. The next prime is 134478689. The reversal of 134478680 is 86874431.

It is an interprime number because it is at equal distance from previous prime (134478671) and next prime (134478689).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134478689) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 91955 + ... + 93405.

It is an arithmetic number, because the mean of its divisors is an integer number (5423220).

Almost surely, 2134478680 is an apocalyptic number.

134478680 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 134478680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173543040).

134478680 is an abundant number, since it is smaller than the sum of its proper divisors (212607400).

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

134478680 is a wasteful number, since it uses less digits than its factorization.

134478680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1800 (or 1796 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 41.

The square root of 134478680 is about 11596.4942978471. The cubic root of 134478680 is about 512.3316028141.

The spelling of 134478680 in words is "one hundred thirty-four million, four hundred seventy-eight thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 331 662 1324 1451 1655 2317 2648 2902 3310 4634 5804 6620 7255 9268 10157 11585 11608 13240 14510 18536 20314 23170 29020 40628 46340 50785 58040 81256 92680 101570 203140 406280 480281 960562 1921124 2401405 3361967 3842248 4802810 6723934 9605620 13447868 16809835 19211240 26895736 33619670 67239340 134478680