| Base | Representation |
|---|---|
| bin | 1000000001010001001… |
| … | …1110110010000011000 |
| 3 | 111011122002210222210000 |
| 4 | 2000110103312100120 |
| 5 | 4224133100411020 |
| 6 | 143143425053000 |
| 7 | 12645211063452 |
| oct | 2002423662030 |
| 9 | 434562728700 |
| 10 | 137779700760 |
| 11 | 5348305a499 |
| 12 | 22852187160 |
| 13 | ccb98a3c70 |
| 14 | 69507c92d2 |
| 15 | 38b5d45090 |
| hex | 20144f6418 |
137779700760 has 640 divisors, whose sum is σ = 530590072320. Its totient is φ = 31766888448.
The previous prime is 137779700719. The next prime is 137779700761. The reversal of 137779700760 is 67007977731.
137779700760 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a junction number, because it is equal to n+sod(n) for n = 137779700697 and 137779700706.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (137779700761) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 226984377 + ... + 226984983.
It is an arithmetic number, because the mean of its divisors is an integer number (829046988).
Almost surely, 2137779700760 is an apocalyptic number.
137779700760 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 137779700760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265295036160).
137779700760 is an abundant number, since it is smaller than the sum of its proper divisors (392810371560).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
137779700760 is a wasteful number, since it uses less digits than its factorization.
137779700760 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 977 (or 964 counting only the distinct ones).
The product of its (nonzero) digits is 2722734, while the sum is 54.
The spelling of 137779700760 in words is "one hundred thirty-seven billion, seven hundred seventy-nine million, seven hundred thousand, seven hundred sixty".
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