| Base | Representation |
|---|---|
| bin | 1111101111111… |
| … | …10011101000000 |
| 3 | 100012121002200000 |
| 4 | 13313332131000 |
| 5 | 232310123430 |
| 6 | 21035400000 |
| 7 | 3162644466 |
| oct | 767763500 |
| 9 | 305532600 |
| 10 | 132114240 |
| 11 | 68636425 |
| 12 | 382b3000 |
| 13 | 214a8c0b |
| 14 | 13790836 |
| 15 | b8e9e60 |
| hex | 7dfe740 |
132114240 has 168 divisors, whose sum is σ = 471525600. Its totient is φ = 35209728.
The previous prime is 132114233. The next prime is 132114247. The reversal of 132114240 is 42411231.
It is an interprime number because it is at equal distance from previous prime (132114233) and next prime (132114247).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (132114247) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76911 + ... + 78609.
It is an arithmetic number, because the mean of its divisors is an integer number (2806700).
Almost surely, 2132114240 is an apocalyptic number.
132114240 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 132114240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235762800).
132114240 is an abundant number, since it is smaller than the sum of its proper divisors (339411360).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132114240 is an equidigital number, since it uses as much as digits as its factorization.
132114240 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1731 (or 1709 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 18.
The square root of 132114240 is about 11494.0958757094. The cubic root of 132114240 is about 509.3111808085.
Adding to 132114240 its reverse (42411231), we get a palindrome (174525471).
The spelling of 132114240 in words is "one hundred thirty-two million, one hundred fourteen thousand, two hundred forty".
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