| Base | Representation |
|---|---|
| bin | 111101010000001000… |
| … | …0010011001010100000 |
| 3 | 110120112002021202201120 |
| 4 | 1322200100103022200 |
| 5 | 4123342114134430 |
| 6 | 140232204132240 |
| 7 | 12334424355000 |
| oct | 1724020231240 |
| 9 | 416462252646 |
| 10 | 131537646240 |
| 11 | 5086a632550 |
| 12 | 215ab837080 |
| 13 | c533618190 |
| 14 | 651b7ac000 |
| 15 | 364cd47610 |
| hex | 1ea04132a0 |
131537646240 has 1536 divisors, whose sum is σ = 586878566400. Its totient is φ = 24385536000.
The previous prime is 131537646221. The next prime is 131537646257. The reversal of 131537646240 is 42646735131.
131537646240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×1315376462402 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (42).
It is a junction number, because it is equal to n+sod(n) for n = 131537646192 and 131537646201.
It is an unprimeable number.
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 255 ways as a sum of consecutive naturals, for example, 871110165 + ... + 871110315.
It is an arithmetic number, because the mean of its divisors is an integer number (382082400).
Almost surely, 2131537646240 is an apocalyptic number.
131537646240 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 131537646240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293439283200).
131537646240 is an abundant number, since it is smaller than the sum of its proper divisors (455340920160).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
131537646240 is a wasteful number, since it uses less digits than its factorization.
131537646240 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 251 (or 229 counting only the distinct ones).
The product of its (nonzero) digits is 362880, while the sum is 42.
It can be divided in two parts, 131537 and 646240, that added together give a palindrome (777777).
The spelling of 131537646240 in words is "one hundred thirty-one billion, five hundred thirty-seven million, six hundred forty-six thousand, two hundred forty".
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