Search a number
-
+
134963460 = 223251923167
BaseRepresentation
bin10000000101101…
…10000100000100
3100101221212001200
420002312010010
5234022312320
621220422500
73226112322
oct1002660404
9311855050
10134963460
116a202055
1239247a30
1321c65a48
1413cd2d12
15bcae290
hex80b6104

134963460 has 216 divisors, whose sum is σ = 452664576. Its totient is φ = 32503680.

The previous prime is 134963401. The next prime is 134963483. The reversal of 134963460 is 64369431.

134963460 is a `hidden beast` number, since 13 + 4 + 9 + 634 + 6 + 0 = 666.

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 71 ways as a sum of consecutive naturals, for example, 2014347 + ... + 2014413.

Almost surely, 2134963460 is an apocalyptic number.

134963460 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 134963460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226332288).

134963460 is an abundant number, since it is smaller than the sum of its proper divisors (317701116).

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

134963460 is a wasteful number, since it uses less digits than its factorization.

134963460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 134963460 is about 11617.3775009681. The cubic root of 134963460 is about 512.9464964776.

The spelling of 134963460 in words is "one hundred thirty-four million, nine hundred sixty-three thousand, four hundred sixty".