| Base | Representation |
|---|---|
| bin | 1111101111111… |
| … | …11000001111000 |
| 3 | 100012121012220102 |
| 4 | 13313333001320 |
| 5 | 232310212400 |
| 6 | 21035414532 |
| 7 | 3162654410 |
| oct | 767770170 |
| 9 | 305535812 |
| 10 | 132116600 |
| 11 | 68638180 |
| 12 | 382b4448 |
| 13 | 214aa005 |
| 14 | 13791640 |
| 15 | b8ea9d5 |
| hex | 7dff078 |
132116600 has 192 divisors, whose sum is σ = 400688640. Its totient is φ = 39283200.
The previous prime is 132116591. The next prime is 132116609. The reversal of 132116600 is 6611231.
132116600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (132116591) and next prime (132116609).
It is a Harshad number since it is a multiple of its sum of digits (20).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (132116609) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 354014 + ... + 354386.
It is an arithmetic number, because the mean of its divisors is an integer number (2086920).
Almost surely, 2132116600 is an apocalyptic number.
132116600 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 132116600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200344320).
132116600 is an abundant number, since it is smaller than the sum of its proper divisors (268572040).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132116600 is a wasteful number, since it uses less digits than its factorization.
132116600 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 430 (or 421 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 20.
The square root of 132116600 is about 11494.1985366532. The cubic root of 132116600 is about 509.3142134546.
Adding to 132116600 its reverse (6611231), we get a palindrome (138727831).
The spelling of 132116600 in words is "one hundred thirty-two million, one hundred sixteen thousand, six hundred".
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