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134123040 = 2534579131
BaseRepresentation
bin1111111111010…
…00111000100000
3100100101011020000
413333220320200
5233313414130
621150420000
73216012162
oct777507040
9310334200
10134123040
1169788697
1238b01600
1321a3035c
1413b54932
15bb95260
hex7fe8e20

134123040 has 240 divisors, whose sum is σ = 482993280. Its totient is φ = 35043840.

The previous prime is 134123029. The next prime is 134123069. The reversal of 134123040 is 40321431.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1023775 + ... + 1023905.

It is an arithmetic number, because the mean of its divisors is an integer number (2012472).

Almost surely, 2134123040 is an apocalyptic number.

134123040 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 134123040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241496640).

134123040 is an abundant number, since it is smaller than the sum of its proper divisors (348870240).

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

134123040 is a wasteful number, since it uses less digits than its factorization.

134123040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 134123040 is about 11581.1502019445. The cubic root of 134123040 is about 511.8795696569.

Adding to 134123040 its reverse (40321431), we get a palindrome (174444471).

The spelling of 134123040 in words is "one hundred thirty-four million, one hundred twenty-three thousand, forty".