Base | Representation |
---|---|
bin | 1111110000000… |
… | …11111100000000 |
3 | 100012122020111000 |
4 | 13320003330000 |
5 | 232311333304 |
6 | 21040052000 |
7 | 3163100130 |
oct | 770037400 |
9 | 305566430 |
10 | 132136704 |
11 | 68651297 |
12 | 38304000 |
13 | 214b61cb |
14 | 13798ac0 |
15 | b901939 |
hex | 7e03f00 |
132136704 has 144 divisors (see below), whose sum is σ = 446736640. Its totient is φ = 37739520.
The previous prime is 132136681. The next prime is 132136709. The reversal of 132136704 is 407631231.
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a zygodrome in base 2.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (132136709) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47019 + ... + 49749.
Almost surely, 2132136704 is an apocalyptic number.
132136704 is a gapful number since it is divisible by the number (14) 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 132136704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223368320).
132136704 is an abundant number, since it is smaller than the sum of its proper divisors (314599936).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132136704 is an equidigital number, since it uses as much as digits as its factorization.
132136704 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2763 (or 2743 counting only the distinct ones).
The product of its (nonzero) digits is 3024, while the sum is 27.
The square root of 132136704 is about 11495.0730315209. The cubic root of 132136704 is about 509.3400460238.
Adding to 132136704 its reverse (407631231), we get a palindrome (539767935).
It can be divided in two parts, 1321 and 36704, that added together give a square (38025 = 1952).
The spelling of 132136704 in words is "one hundred thirty-two million, one hundred thirty-six thousand, seven hundred four".
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