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134930880 = 2633572397
BaseRepresentation
bin10000000101011…
…10000111000000
3100101220012101000
420002232013000
5234020242010
621220012000
73225615330
oct1002560700
9311805330
10134930880
116a18a627
1239231000
1321c53c76
1413cc50c0
15bca47c0
hex80ae1c0

134930880 has 448 divisors, whose sum is σ = 573511680. Its totient is φ = 29196288.

The previous prime is 134930869. The next prime is 134930891. The reversal of 134930880 is 88039431.

134930880 is a `hidden beast` number, since 1 + 349 + 308 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (134930869) and next prime (134930891).

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1390992 + ... + 1391088.

It is an arithmetic number, because the mean of its divisors is an integer number (1280160).

Almost surely, 2134930880 is an apocalyptic number.

134930880 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 134930880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286755840).

134930880 is an abundant number, since it is smaller than the sum of its proper divisors (438580800).

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

134930880 is a wasteful number, since it uses less digits than its factorization.

134930880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 137 counting only the distinct ones).

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

The square root of 134930880 is about 11615.9752065851. The cubic root of 134930880 is about 512.9052182883.

The spelling of 134930880 in words is "one hundred thirty-four million, nine hundred thirty thousand, eight hundred eighty".