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134124000 = 2535311177
BaseRepresentation
bin1111111111010…
…01000111100000
3100100101012112120
413333221013200
5233313432000
621150424240
73216015033
oct777510740
9310335476
10134124000
116978938a
1238b02080
1321a3091a
1413b5501a
15bb956a0
hex7fe91e0

134124000 has 96 divisors (see below), whose sum is σ = 439429536. Its totient is φ = 35763200.

The previous prime is 134123981. The next prime is 134124007. The reversal of 134124000 is 421431.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134124007) 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, 6412 + ... + 17588.

It is an arithmetic number, because the mean of its divisors is an integer number (4577391).

Almost surely, 2134124000 is an apocalyptic number.

134124000 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 134124000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219714768).

134124000 is an abundant number, since it is smaller than the sum of its proper divisors (305305536).

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

134124000 is a wasteful number, since it uses less digits than its factorization.

134124000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11205 (or 11187 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 134124000 is about 11581.1916485308. The cubic root of 134124000 is about 511.8807909316.

Adding to 134124000 its reverse (421431), we get a palindrome (134545431).

The spelling of 134124000 in words is "one hundred thirty-four million, one hundred twenty-four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 750 800 1000 1200 1500 2000 2400 3000 4000 6000 11177 12000 22354 33531 44708 55885 67062 89416 111770 134124 167655 178832 223540 268248 279425 335310 357664 447080 536496 558850 670620 838275 894160 1072992 1117700 1341240 1397125 1676550 1788320 2235400 2682480 2794250 3353100 4191375 4470800 5364960 5588500 6706200 8382750 8941600 11177000 13412400 16765500 22354000 26824800 33531000 44708000 67062000 134124000