| Base | Representation |
|---|---|
| bin | 10000010111100… |
| … | …11011101110000 |
| 3 | 100120101011210210 |
| 4 | 20023303131300 |
| 5 | 240122441422 |
| 6 | 21343024120 |
| 7 | 3255063600 |
| oct | 1013633560 |
| 9 | 316334723 |
| 10 | 137312112 |
| 11 | 70566693 |
| 12 | 39b9b040 |
| 13 | 225a8a92 |
| 14 | 14344c00 |
| 15 | c0c510c |
| hex | 82f3770 |
137312112 has 120 divisors (see below), whose sum is σ = 418425600. Its totient is φ = 38683008.
The previous prime is 137312053. The next prime is 137312141. The reversal of 137312112 is 211213731.
It is a happy number.
137312112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×1373121122 = 37709232203801088, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (21).
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 185439 + ... + 186177.
It is an arithmetic number, because the mean of its divisors is an integer number (3486880).
Almost surely, 2137312112 is an apocalyptic number.
137312112 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 137312112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209212800).
137312112 is an abundant number, since it is smaller than the sum of its proper divisors (281113488).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
137312112 is a wasteful number, since it uses less digits than its factorization.
137312112 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 843 (or 830 counting only the distinct ones).
The product of its digits is 252, while the sum is 21.
The square root of 137312112 is about 11718.0250895789. The cubic root of 137312112 is about 515.9048559629.
Adding to 137312112 its reverse (211213731), we get a palindrome (348525843).
The spelling of 137312112 in words is "one hundred thirty-seven million, three hundred twelve thousand, one hundred twelve".
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