| Base | Representation |
|---|---|
| bin | 1111111100011… |
| … | …11011101000100 |
| 3 | 100022200112202100 |
| 4 | 13332033131010 |
| 5 | 233220203430 |
| 6 | 21134512100 |
| 7 | 3212625225 |
| oct | 776173504 |
| 9 | 308615670 |
| 10 | 133756740 |
| 11 | 69558467 |
| 12 | 38965630 |
| 13 | 21932700 |
| 14 | 13a9b24c |
| 15 | bb21960 |
| hex | 7f8f744 |
133756740 has 108 divisors (see below), whose sum is σ = 439439364. Its totient is φ = 32917248.
The previous prime is 133756709. The next prime is 133756759. The reversal of 133756740 is 47657331.
It can be written as a sum of positive squares in 6 ways, for example, as 27625536 + 106131204 = 5256^2 + 10302^2 .
It is a super-3 number, since 3×1337567403 (a number of 25 digits) contains 333 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 = 133756695 and 133756704.
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 35 ways as a sum of consecutive naturals, for example, 28222 + ... + 32618.
It is an arithmetic number, because the mean of its divisors is an integer number (4068883).
Almost surely, 2133756740 is an apocalyptic number.
133756740 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 133756740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219719682).
133756740 is an abundant number, since it is smaller than the sum of its proper divisors (305682624).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
133756740 is a wasteful number, since it uses less digits than its factorization.
133756740 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4438 (or 4420 counting only the distinct ones).
The product of its (nonzero) digits is 52920, while the sum is 36.
The square root of 133756740 is about 11565.3248981600. The cubic root of 133756740 is about 511.4131510626.
The spelling of 133756740 in words is "one hundred thirty-three million, seven hundred fifty-six thousand, seven hundred forty".
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