| Base | Representation |
|---|---|
| bin | 10000010000110… |
| … | …01101000000000 |
| 3 | 100111200211211200 |
| 4 | 20020121220000 |
| 5 | 234410413330 |
| 6 | 21311541200 |
| 7 | 3244356324 |
| oct | 1010315000 |
| 9 | 314624750 |
| 10 | 136419840 |
| 11 | 70007277 |
| 12 | 3982a800 |
| 13 | 223558cb |
| 14 | 14191984 |
| 15 | be9aa60 |
| hex | 8219a00 |
136419840 has 240 divisors, whose sum is σ = 490254336. Its totient is φ = 35020800.
The previous prime is 136419821. The next prime is 136419841. The reversal of 136419840 is 48914631.
136419840 is a `hidden beast` number, since 1 + 3 + 641 + 9 + 8 + 4 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (240).
It is a super-2 number, since 2×1364198402 = 37220745491251200, which contains 22 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 = 136419795 and 136419804.
It is not an unprimeable number, because it can be changed into a prime (136419841) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 714145 + ... + 714335.
Almost surely, 2136419840 is an apocalyptic number.
136419840 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 136419840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245127168).
136419840 is an abundant number, since it is smaller than the sum of its proper divisors (353834496).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
136419840 is a wasteful number, since it uses less digits than its factorization.
136419840 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 251 (or 232 counting only the distinct ones).
The product of its (nonzero) digits is 20736, while the sum is 36.
The square root of 136419840 is about 11679.8904104448. The cubic root of 136419840 is about 514.7849543620.
The spelling of 136419840 in words is "one hundred thirty-six million, four hundred nineteen thousand, eight hundred forty".
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