| Base | Representation |
|---|---|
| bin | 1111101011101… |
| … | …01001101111000 |
| 3 | 100011112112120202 |
| 4 | 13311311031320 |
| 5 | 232134131440 |
| 6 | 21015341332 |
| 7 | 3155113610 |
| oct | 765651570 |
| 9 | 304475522 |
| 10 | 131552120 |
| 11 | 68292067 |
| 12 | 38081848 |
| 13 | 213400bb |
| 14 | 13685a40 |
| 15 | b838615 |
| hex | 7d75378 |
131552120 has 128 divisors (see below), whose sum is σ = 370915200. Its totient is φ = 40943616.
The previous prime is 131552101. The next prime is 131552129. The reversal of 131552120 is 21255131.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (20).
It is a junction number, because it is equal to n+sod(n) for n = 131552092 and 131552101.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (131552129) 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 31 ways as a sum of consecutive naturals, for example, 137564 + ... + 138516.
It is an arithmetic number, because the mean of its divisors is an integer number (2897775).
Almost surely, 2131552120 is an apocalyptic number.
131552120 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 131552120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185457600).
131552120 is an abundant number, since it is smaller than the sum of its proper divisors (239363080).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
131552120 is a wasteful number, since it uses less digits than its factorization.
131552120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1017 (or 1013 counting only the distinct ones).
The product of its (nonzero) digits is 300, while the sum is 20.
The square root of 131552120 is about 11469.6172560378. The cubic root of 131552120 is about 508.5878144124.
It can be divided in two parts, 1315 and 52120, that added together give a palindrome (53435).
The spelling of 131552120 in words is "one hundred thirty-one million, five hundred fifty-two thousand, one hundred twenty".
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