Base | Representation |
---|---|
bin | 1111110000000… |
… | …11100001000000 |
3 | 100012122011010000 |
4 | 13320003201000 |
5 | 232311304401 |
6 | 21040040000 |
7 | 3163062111 |
oct | 770034100 |
9 | 305564100 |
10 | 132134976 |
11 | 6864aa66 |
12 | 38303000 |
13 | 214b549c |
14 | 13798208 |
15 | b901186 |
hex | 7e03840 |
132134976 has 140 divisors (see below), whose sum is σ = 398312640. Its totient is φ = 43303680.
The previous prime is 132134971. The next prime is 132135011. The reversal of 132134976 is 679431231.
It is a super-3 number, since 3×1321349763 (a number of 25 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 132134976.
It is not an unprimeable number, because it can be changed into a prime (132134971) by changing a digit.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 367885 + ... + 368243.
Almost surely, 2132134976 is an apocalyptic number.
132134976 is a gapful number since it is divisible by the number (16) 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 132134976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199156320).
132134976 is an abundant number, since it is smaller than the sum of its proper divisors (266177664).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132134976 is an equidigital number, since it uses as much as digits as its factorization.
132134976 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 454 (or 435 counting only the distinct ones).
The product of its digits is 27216, while the sum is 36.
The square root of 132134976 is about 11494.9978686383. The cubic root of 132134976 is about 509.3378257388.
The spelling of 132134976 in words is "one hundred thirty-two million, one hundred thirty-four thousand, nine hundred seventy-six".
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