| Base | Representation |
|---|---|
| bin | 111110011101001101… |
| … | …1000011101000000000 |
| 3 | 110211012100021011001200 |
| 4 | 1330322123003220000 |
| 5 | 4144141241014230 |
| 6 | 141341002101200 |
| 7 | 12455502345660 |
| oct | 1747233035000 |
| 9 | 424170234050 |
| 10 | 134124157440 |
| 11 | 51977654709 |
| 12 | 21bb1aaa800 |
| 13 | c856447590 |
| 14 | 66c50dc1a0 |
| 15 | 374ee61160 |
| hex | 1f3a6c3a00 |
134124157440 has 1920 divisors, whose sum is σ = 625441969152. Its totient is φ = 25763512320.
The previous prime is 134124157429. The next prime is 134124157469. The reversal of 134124157440 is 44751421431.
134124157440 is a `hidden beast` number, since 1 + 3 + 4 + 1 + 2 + 41 + 574 + 40 = 666.
It is a tau number, because it is divible by the number of its divisors (1920).
It is a super-4 number, since 4×1341241574404 (a number of 46 digits) contains 4444 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 134124157395 and 134124157404.
It is an unprimeable number.
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 191 ways as a sum of consecutive naturals, for example, 1889072605 + ... + 1889072675.
Almost surely, 2134124157440 is an apocalyptic number.
134124157440 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 134124157440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312720984576).
134124157440 is an abundant number, since it is smaller than the sum of its proper divisors (491317811712).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
134124157440 is a wasteful number, since it uses less digits than its factorization.
134124157440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 190 (or 171 counting only the distinct ones).
The product of its (nonzero) digits is 53760, while the sum is 36.
Adding to 134124157440 its reverse (44751421431), we get a palindrome (178875578871).
The spelling of 134124157440 in words is "one hundred thirty-four billion, one hundred twenty-four million, one hundred fifty-seven thousand, four hundred forty".
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