| Base | Representation |
|---|---|
| bin | 10000010111000… |
| … | …10001010000000 |
| 3 | 100120020120120000 |
| 4 | 20023202022000 |
| 5 | 240113204331 |
| 6 | 21341320000 |
| 7 | 3254350110 |
| oct | 1013421200 |
| 9 | 316216500 |
| 10 | 137241216 |
| 11 | 705183a2 |
| 12 | 39b66000 |
| 13 | 22582728 |
| 14 | 14327040 |
| 15 | c0ae0e6 |
| hex | 82e2280 |
137241216 has 320 divisors, whose sum is σ = 489730560. Its totient is φ = 37324800.
The previous prime is 137241211. The next prime is 137241263. The reversal of 137241216 is 612142731.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.
It is a self number, because there is not a number n which added to its sum of digits gives 137241216.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (137241211) by changing a digit.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2249826 + ... + 2249886.
It is an arithmetic number, because the mean of its divisors is an integer number (1530408).
Almost surely, 2137241216 is an apocalyptic number.
137241216 is a gapful number since it is divisible by the number (16) 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 137241216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244865280).
137241216 is an abundant number, since it is smaller than the sum of its proper divisors (352489344).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
137241216 is an equidigital number, since it uses as much as digits as its factorization.
137241216 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 125 (or 104 counting only the distinct ones).
The product of its digits is 2016, while the sum is 27.
The square root of 137241216 is about 11714.9996158771. Note that the first 3 decimals coincide. The cubic root of 137241216 is about 515.8160512518.
Adding to 137241216 its reverse (612142731), we get a palindrome (749383947).
The spelling of 137241216 in words is "one hundred thirty-seven million, two hundred forty-one thousand, two hundred sixteen".
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