| Base | Representation |
|---|---|
| bin | 1111101011011… |
| … | …10010100000000 |
| 3 | 100011111002210100 |
| 4 | 13311232110000 |
| 5 | 232132230330 |
| 6 | 21015002400 |
| 7 | 3154635300 |
| oct | 765562400 |
| 9 | 304432710 |
| 10 | 131523840 |
| 11 | 68272898 |
| 12 | 38069400 |
| 13 | 21330276 |
| 14 | 13679600 |
| 15 | b830060 |
| hex | 7d6e500 |
131523840 has 324 divisors, whose sum is σ = 531626004. Its totient is φ = 29933568.
The previous prime is 131523827. The next prime is 131523841. The reversal of 131523840 is 48325131.
It is a happy number.
131523840 is a `hidden beast` number, since 131 + 523 + 8 + 4 + 0 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 36578304 + 94945536 = 6048^2 + 9744^2 .
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (131523841) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 564364 + ... + 564596.
It is an arithmetic number, because the mean of its divisors is an integer number (1640821).
Almost surely, 2131523840 is an apocalyptic number.
131523840 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 131523840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265813002).
131523840 is an abundant number, since it is smaller than the sum of its proper divisors (400102164).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
131523840 is a wasteful number, since it uses less digits than its factorization.
131523840 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 274 (or 250 counting only the distinct ones).
The product of its (nonzero) digits is 2880, while the sum is 27.
The square root of 131523840 is about 11468.3843674687. The cubic root of 131523840 is about 508.5513677829.
Adding to 131523840 its reverse (48325131), we get a palindrome (179848971).
The spelling of 131523840 in words is "one hundred thirty-one million, five hundred twenty-three thousand, eight hundred forty".
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