| Base | Representation |
|---|---|
| bin | 10000010110111… |
| … | …00011100000000 |
| 3 | 100120012101102110 |
| 4 | 20023130130000 |
| 5 | 240111432132 |
| 6 | 21341015320 |
| 7 | 3254221605 |
| oct | 1013343400 |
| 9 | 316171373 |
| 10 | 137217792 |
| 11 | 70501838 |
| 12 | 39b54540 |
| 13 | 22574b7a |
| 14 | 1431c6ac |
| 15 | c0a71cc |
| hex | 82dc700 |
137217792 has 144 divisors (see below), whose sum is σ = 387787680. Its totient is φ = 43008000.
The previous prime is 137217781. The next prime is 137217803. The reversal of 137217792 is 297712731.
It is an interprime number because it is at equal distance from previous prime (137217781) and next prime (137217803).
It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.
Its product of digits (37044) is a multiple of the sum of its prime divisors (196).
It is a self number, because there is not a number n which added to its sum of digits gives 137217792.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1358542 + ... + 1358642.
It is an arithmetic number, because the mean of its divisors is an integer number (2692970).
Almost surely, 2137217792 is an apocalyptic number.
137217792 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 137217792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193893840).
137217792 is an abundant number, since it is smaller than the sum of its proper divisors (250569888).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
137217792 is a wasteful number, since it uses less digits than its factorization.
137217792 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 210 (or 196 counting only the distinct ones).
The product of its digits is 37044, while the sum is 39.
The square root of 137217792 is about 11713.9998292641. Note that the first 3 decimals coincide. The cubic root of 137217792 is about 515.7867035019.
The spelling of 137217792 in words is "one hundred thirty-seven million, two hundred seventeen thousand, seven hundred ninety-two".
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