Base | Representation |
---|---|
bin | 1111110000001… |
… | …10000000100100 |
3 | 100012122200010020 |
4 | 13320012000210 |
5 | 232312121223 |
6 | 21040155140 |
7 | 3163133640 |
oct | 770060044 |
9 | 305580106 |
10 | 132145188 |
11 | 686576aa |
12 | 38308ab0 |
13 | 214ba026 |
14 | 1379bc20 |
15 | b9041e3 |
hex | 7e06024 |
132145188 has 72 divisors (see below), whose sum is σ = 364343616. Its totient is φ = 36515520.
The previous prime is 132145183. The next prime is 132145207. The reversal of 132145188 is 881541231.
It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.
It is not an unprimeable number, because it can be changed into a prime (132145183) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79906 + ... + 81542.
It is an arithmetic number, because the mean of its divisors is an integer number (5060328).
Almost surely, 2132145188 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 132145188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182171808).
132145188 is an abundant number, since it is smaller than the sum of its proper divisors (232198428).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132145188 is a wasteful number, since it uses less digits than its factorization.
132145188 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1713 (or 1680 counting only the distinct ones).
The product of its digits is 7680, while the sum is 33.
The square root of 132145188 is about 11495.4420532662. The cubic root of 132145188 is about 509.3509467257.
The spelling of 132145188 in words is "one hundred thirty-two million, one hundred forty-five thousand, one hundred eighty-eight".
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