Search a number
-
+
134992512 = 27321761113
BaseRepresentation
bin10000000101111…
…01001010000000
3100102000022220200
420002331022000
5234024230022
621221205200
73226263114
oct1002751200
9312008820
10134992512
116a221966
1239260800
1321c76035
1413cdd744
15bcb7bac
hex80bd280

134992512 has 192 divisors, whose sum is σ = 421747560. Its totient is φ = 41287680.

The previous prime is 134992493. The next prime is 134992547. The reversal of 134992512 is 215299431.

134992512 is a `hidden beast` number, since 13 + 49 + 92 + 512 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 55711296 + 79281216 = 7464^2 + 8904^2 .

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

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

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, 1194568 + ... + 1194680.

Almost surely, 2134992512 is an apocalyptic number.

134992512 is a gapful number since it is divisible by the number (12) 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 134992512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210873780).

134992512 is an abundant number, since it is smaller than the sum of its proper divisors (286755048).

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

134992512 is a wasteful number, since it uses less digits than its factorization.

134992512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 196 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The square root of 134992512 is about 11618.6278019394. The cubic root of 134992512 is about 512.9832991611.

The spelling of 134992512 in words is "one hundred thirty-four million, nine hundred ninety-two thousand, five hundred twelve".