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134830080 = 21132571119
BaseRepresentation
bin10000000100101…
…01100000000000
3100101201002002200
420002111200000
5234004030310
621213513200
73225015420
oct1002254000
9311632080
10134830080
116a120920
12391a2800
1321c1a118
1413c9a480
15bc849c0
hex8095800

134830080 has 576 divisors, whose sum is σ = 613267200. Its totient is φ = 26542080.

The previous prime is 134830021. The next prime is 134830093. The reversal of 134830080 is 80038431.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7096311 + ... + 7096329.

It is an arithmetic number, because the mean of its divisors is an integer number (1064700).

Almost surely, 2134830080 is an apocalyptic number.

134830080 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 134830080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306633600).

134830080 is an abundant number, since it is smaller than the sum of its proper divisors (478437120).

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

134830080 is a wasteful number, since it uses less digits than its factorization.

134830080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 134830080 is about 11611.6355437122. The cubic root of 134830080 is about 512.7774646668. Note that the first 3 decimals are identical.

The spelling of 134830080 in words is "one hundred thirty-four million, eight hundred thirty thousand, eighty".