| Base | Representation |
|---|---|
| bin | 1111111011011… |
| … | …01000101101100 |
| 3 | 100022102101200000 |
| 4 | 13331231011230 |
| 5 | 233201202410 |
| 6 | 21131504300 |
| 7 | 3211500651 |
| oct | 775550554 |
| 9 | 308371600 |
| 10 | 133615980 |
| 11 | 69471733 |
| 12 | 388b8090 |
| 13 | 218b3614 |
| 14 | 13a61c28 |
| 15 | bae4dc0 |
| hex | 7f6d16c |
133615980 has 144 divisors (see below), whose sum is σ = 442740480. Its totient is φ = 33732288.
The previous prime is 133615969. The next prime is 133615987. The reversal of 133615980 is 89516331.
It is a happy number.
133615980 is a `hidden beast` number, since 1 + 3 + 3 + 61 + 598 + 0 = 666.
It is a super-2 number, since 2×1336159802 = 35706460222720800, which contains 22 as substring.
It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (133615987) 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 47 ways as a sum of consecutive naturals, for example, 91617 + ... + 93063.
Almost surely, 2133615980 is an apocalyptic number.
133615980 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 133615980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221370240).
133615980 is an abundant number, since it is smaller than the sum of its proper divisors (309124500).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
133615980 is a wasteful number, since it uses less digits than its factorization.
133615980 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1490 (or 1476 counting only the distinct ones).
The product of its (nonzero) digits is 19440, while the sum is 36.
The square root of 133615980 is about 11559.2378641500. The cubic root of 133615980 is about 511.2336914910.
The spelling of 133615980 in words is "one hundred thirty-three million, six hundred fifteen thousand, nine hundred eighty".
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