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134105088 = 2113132373
BaseRepresentation
bin1111111111001…
…00100000000000
3100100100020121010
413333210200000
5233312330323
621150200520
73215605635
oct777444000
9310306533
10134105088
1169776157
1238ab3140
1321a25130
1413b4c18c
15bb8ec93
hex7fe4800

134105088 has 192 divisors, whose sum is σ = 407272320. Its totient is φ = 38928384.

The previous prime is 134105087. The next prime is 134105099. The reversal of 134105088 is 880501431.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×1341050883 (a number of 25 digits) contains 333 as substring.

It is a nialpdrome in base 8.

It is a zygodrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (134105087) 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, 1837020 + ... + 1837092.

It is an arithmetic number, because the mean of its divisors is an integer number (2121210).

Almost surely, 2134105088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134105088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203636160).

134105088 is an abundant number, since it is smaller than the sum of its proper divisors (273167232).

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

134105088 is a wasteful number, since it uses less digits than its factorization.

134105088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 134105088 is about 11580.3751234578. The cubic root of 134105088 is about 511.8567307471.

The spelling of 134105088 in words is "one hundred thirty-four million, one hundred five thousand, eighty-eight".