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134115000 = 233548941
BaseRepresentation
bin1111111111001…
…10111010111000
3100100100202012020
413333212322320
5233313140000
621150314440
73215646555
oct777467270
9310322166
10134115000
1169782648
1238ab8a20
1321a297b6
1413b51a2c
15bb92ba0
hex7fe6eb8

134115000 has 80 divisors (see below), whose sum is σ = 419022120. Its totient is φ = 35760000.

The previous prime is 134114999. The next prime is 134115019. The reversal of 134115000 is 511431.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10530 + ... + 19470.

Almost surely, 2134115000 is an apocalyptic number.

134115000 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 134115000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209511060).

134115000 is an abundant number, since it is smaller than the sum of its proper divisors (284907120).

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

134115000 is an equidigital number, since it uses as much as digits as its factorization.

134115000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8970 (or 8951 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 134115000 is about 11580.8030809612. The cubic root of 134115000 is about 511.8693412528.

Adding to 134115000 its reverse (511431), we get a palindrome (134626431).

The spelling of 134115000 in words is "one hundred thirty-four million, one hundred fifteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 625 750 1000 1250 1500 1875 2500 3000 3750 5000 7500 8941 15000 17882 26823 35764 44705 53646 71528 89410 107292 134115 178820 214584 223525 268230 357640 447050 536460 670575 894100 1072920 1117625 1341150 1788200 2235250 2682300 3352875 4470500 5364600 5588125 6705750 8941000 11176250 13411500 16764375 22352500 26823000 33528750 44705000 67057500 134115000