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134724000 = 25353103109
BaseRepresentation
bin10000000011110…
…11100110100000
3100101111200120210
420001323212200
5233442132000
621211334120
73224064225
oct1001734640
9311450523
10134724000
116a059154
1239151340
1321bb0a58
1413c6d94c
15bc63350
hex807b9a0

134724000 has 192 divisors, whose sum is σ = 449729280. Its totient is φ = 35251200.

The previous prime is 134723989. The next prime is 134724011. The reversal of 134724000 is 427431.

It is an interprime number because it is at equal distance from previous prime (134723989) and next prime (134724011).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1235946 + ... + 1236054.

It is an arithmetic number, because the mean of its divisors is an integer number (2342340).

Almost surely, 2134724000 is an apocalyptic number.

134724000 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 134724000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224864640).

134724000 is an abundant number, since it is smaller than the sum of its proper divisors (315005280).

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

134724000 is a wasteful number, since it uses less digits than its factorization.

134724000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 134724000 is about 11607.0668129377. The cubic root of 134724000 is about 512.6429504070.

The spelling of 134724000 in words is "one hundred thirty-four million, seven hundred twenty-four thousand".