| Base | Representation |
|---|---|
| bin | 10000011010100… |
| … | …10001010100000 |
| 3 | 100121002212220000 |
| 4 | 20031102022200 |
| 5 | 240222400000 |
| 6 | 21355220000 |
| 7 | 3261300504 |
| oct | 1015221240 |
| 9 | 317085800 |
| 10 | 137700000 |
| 11 | 70801059 |
| 12 | 3a147600 |
| 13 | 226b34b9 |
| 14 | 14406304 |
| 15 | c150000 |
| hex | 83522a0 |
137700000 has 360 divisors, whose sum is σ = 535957884. Its totient is φ = 34560000.
The previous prime is 137699993. The next prime is 137700001. The reversal of 137700000 is 7731.
It can be written as a sum of positive squares in 6 ways, for example, as 5817744 + 131882256 = 2412^2 + 11484^2 .
It is a tau number, because it is divible by the number of its divisors (360).
It is a super-2 number, since 2×1377000002 = 37922580000000000, which contains 22 as substring.
It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (137700001) by changing a digit.
It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 8099992 + ... + 8100008.
Almost surely, 2137700000 is an apocalyptic number.
137700000 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 137700000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267978942).
137700000 is an abundant number, since it is smaller than the sum of its proper divisors (398257884).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
137700000 is an frugal number, since it uses more digits than its factorization.
137700000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 64 (or 27 counting only the distinct ones).
The product of its (nonzero) digits is 147, while the sum is 18.
The square root of 137700000 is about 11734.5643293648. The cubic root of 137700000 is about 516.3901862179.
Adding to 137700000 its reverse (7731), we get a palindrome (137707731).
The spelling of 137700000 in words is "one hundred thirty-seven million, seven hundred thousand".
• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.069 sec. • engine limits •