| Base | Representation |
|---|---|
| bin | 11111000001010000101111… |
| … | …000101001010010000000000 |
| 3 | 122220001012200122100012120100 |
| 4 | 133001100233011022100000 |
| 5 | 120340201204023301000 |
| 6 | 1202053144400442400 |
| 7 | 40510314464443230 |
| oct | 3701205705122000 |
| 9 | 586035618305510 |
| 10 | 136426131072000 |
| 11 | 3a518aa7406150 |
| 12 | 1337436b319400 |
| 13 | 5b17c0cbc93a3 |
| 14 | 25990ba803cc0 |
| 15 | 10b8b5406ea00 |
| hex | 7c142f14a400 |
136426131072000 has 4224 divisors, whose sum is σ = 656261288017920. Its totient is φ = 26396098560000.
The previous prime is 136426131071969. The next prime is 136426131072013. The reversal of 136426131072000 is 270131624631.
136426131072000 is a `hidden beast` number, since 1 + 3 + 6 + 4 + 2 + 613 + 10 + 7 + 20 + 0 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (4224).
It is a super-2 number, since 2×1364261310720002 (a number of 29 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
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 383 ways as a sum of consecutive naturals, for example, 102807935337 + ... + 102807936663.
Almost surely, 2136426131072000 is an apocalyptic number.
136426131072000 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 136426131072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328130644008960).
136426131072000 is an abundant number, since it is smaller than the sum of its proper divisors (519835156945920).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
136426131072000 is a wasteful number, since it uses less digits than its factorization.
136426131072000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1466 (or 1435 counting only the distinct ones).
The product of its (nonzero) digits is 36288, while the sum is 36.
Adding to 136426131072000 its reverse (270131624631), we get a palindrome (136696262696631).
The spelling of 136426131072000 in words is "one hundred thirty-six trillion, four hundred twenty-six billion, one hundred thirty-one million, seventy-two thousand".
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