| Base | Representation |
|---|---|
| bin | 111111110111000100… |
| … | …0001111111000000000 |
| 3 | 111002222110110102002000 |
| 4 | 1333232020033320000 |
| 5 | 4221330104011020 |
| 6 | 143000103224000 |
| 7 | 12623302223040 |
| oct | 1775610177000 |
| 9 | 432873412060 |
| 10 | 137139125760 |
| 11 | 53184508a6a |
| 12 | 226b3748000 |
| 13 | cc16c6cbc0 |
| 14 | 68cd6bd720 |
| 15 | 38799b0090 |
| hex | 1fee20fe00 |
137139125760 has 640 divisors, whose sum is σ = 599571624960. Its totient is φ = 28933521408.
The previous prime is 137139125731. The next prime is 137139125789. The reversal of 137139125760 is 67521931731.
137139125760 is a `hidden beast` number, since 1 + 3 + 7 + 1 + 391 + 257 + 6 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (137139125731) and next prime (137139125789).
It is a tau number, because it is divible by the number of its divisors (640).
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6279019 + ... + 6300821.
It is an arithmetic number, because the mean of its divisors is an integer number (936830664).
Almost surely, 2137139125760 is an apocalyptic number.
137139125760 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 137139125760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299785812480).
137139125760 is an abundant number, since it is smaller than the sum of its proper divisors (462432499200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
137139125760 is a wasteful number, since it uses less digits than its factorization.
137139125760 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 21855 (or 21833 counting only the distinct ones).
The product of its (nonzero) digits is 238140, while the sum is 45.
The spelling of 137139125760 in words is "one hundred thirty-seven billion, one hundred thirty-nine million, one hundred twenty-five thousand, seven hundred sixty".
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