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134174000 = 245373919
BaseRepresentation
bin1111111111101…
…01010100110000
3100100110202010102
413333311110300
5233322032000
621151451532
73216313562
oct777652460
9310422112
10134174000
1169812a04
1238b26ba8
1321a4a5cc
1413b69332
15bba53d5
hex7ff5530

134174000 has 80 divisors (see below), whose sum is σ = 329234880. Its totient is φ = 52876800.

The previous prime is 134173993. The next prime is 134174003. The reversal of 134174000 is 471431.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (134174003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145541 + ... + 146459.

It is an arithmetic number, because the mean of its divisors is an integer number (4115436).

Almost surely, 2134174000 is an apocalyptic number.

134174000 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 134174000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164617440).

134174000 is an abundant number, since it is smaller than the sum of its proper divisors (195060880).

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

134174000 is an equidigital number, since it uses as much as digits as its factorization.

134174000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1015 (or 999 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 134174000 is about 11583.3501198919. The cubic root of 134174000 is about 511.9443909331.

The spelling of 134174000 in words is "one hundred thirty-four million, one hundred seventy-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 73 80 100 125 146 200 250 292 365 400 500 584 730 919 1000 1168 1460 1825 1838 2000 2920 3650 3676 4595 5840 7300 7352 9125 9190 14600 14704 18250 18380 22975 29200 36500 36760 45950 67087 73000 73520 91900 114875 134174 146000 183800 229750 268348 335435 367600 459500 536696 670870 919000 1073392 1341740 1677175 1838000 2683480 3354350 5366960 6708700 8385875 13417400 16771750 26834800 33543500 67087000 134174000