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134184960 = 215325713
BaseRepresentation
bin1111111111110…
…00000000000000
3100100111022011100
413333320000000
5233322404320
621152014400
73216360540
oct777700000
9310438140
10134184960
1169820168
1238b31400
1321a525b0
1413b6d320
15bba8790
hex7ff8000

134184960 has 384 divisors, whose sum is σ = 572513760. Its totient is φ = 28311552.

The previous prime is 134184937. The next prime is 134184971. The reversal of 134184960 is 69481431.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 2 and base 8.

It is a zygodrome in base 2 and base 8.

It is a congruent number.

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, 10321914 + ... + 10321926.

Almost surely, 2134184960 is an apocalyptic number.

134184960 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 134184960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286256880).

134184960 is an abundant number, since it is smaller than the sum of its proper divisors (438328800).

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

134184960 is an equidigital number, since it uses as much as digits as its factorization.

134184960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 134184960 is about 11583.8232030707. The cubic root of 134184960 is about 511.9583299420.

The spelling of 134184960 in words is "one hundred thirty-four million, one hundred eighty-four thousand, nine hundred sixty".