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134456000 = 265375
BaseRepresentation
bin10000000001110…
…10001011000000
3100101000001221212
420000322023000
5233410043000
621201505252
73221600000
oct1000721300
9311001855
10134456000
1169995868
1239042228
1321b18a83
1413c00000
15bc0dc35
hex803a2c0

134456000 has 168 divisors, whose sum is σ = 388473696. Its totient is φ = 46099200.

The previous prime is 134455973. The next prime is 134456051. The reversal of 134456000 is 654431.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19207997 + ... + 19208003.

Almost surely, 2134456000 is an apocalyptic number.

134456000 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 134456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194236848).

134456000 is an abundant number, since it is smaller than the sum of its proper divisors (254017696).

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

134456000 is an frugal number, since it uses more digits than its factorization.

134456000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 134456000 is about 11595.5163748752. The cubic root of 134456000 is about 512.3027994032.

The spelling of 134456000 in words is "one hundred thirty-four million, four hundred fifty-six thousand".