| Base | Representation |
|---|---|
| bin | 111111011111111000… |
| … | …1010111110110000000 |
| 3 | 111000222020222200120000 |
| 4 | 1332333301113312000 |
| 5 | 4213232003032102 |
| 6 | 142351001320000 |
| 7 | 12565106403300 |
| oct | 1767761276600 |
| 9 | 430866880500 |
| 10 | 136361377152 |
| 11 | 52915495a20 |
| 12 | 22517196000 |
| 13 | cb21aab120 |
| 14 | 68582a7600 |
| 15 | 383158101c |
| hex | 1fbfc57d80 |
136361377152 has 960 divisors, whose sum is σ = 554887927440. Its totient is φ = 32676618240.
The previous prime is 136361377147. The next prime is 136361377157. The reversal of 136361377152 is 251773163631.
136361377152 is a `hidden beast` number, since 1 + 3 + 636 + 1 + 3 + 7 + 7 + 1 + 5 + 2 = 666.
It is an interprime number because it is at equal distance from previous prime (136361377147) and next prime (136361377157).
It is a super-2 number, since 2×1363613771522 (a number of 23 digits) contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 136361377098 and 136361377107.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (136361377157) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 72647638 + ... + 72649514.
Almost surely, 2136361377152 is an apocalyptic number.
136361377152 is a gapful number since it is divisible by the number (12) 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 136361377152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277443963720).
136361377152 is an abundant number, since it is smaller than the sum of its proper divisors (418526550288).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
136361377152 is a wasteful number, since it uses less digits than its factorization.
136361377152 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1941 (or 1913 counting only the distinct ones).
The product of its digits is 476280, while the sum is 45.
The spelling of 136361377152 in words is "one hundred thirty-six billion, three hundred sixty-one million, three hundred seventy-seven thousand, one hundred fifty-two".
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