| Base | Representation |
|---|---|
| bin | 10000011010001… |
| … | …00110101110000 |
| 3 | 100121000010000200 |
| 4 | 20031010311300 |
| 5 | 240214123144 |
| 6 | 21354115200 |
| 7 | 3260652420 |
| oct | 1015046560 |
| 9 | 317003020 |
| 10 | 137645424 |
| 11 | 70774054 |
| 12 | 3a11bb00 |
| 13 | 226946c7 |
| 14 | 143d0480 |
| 15 | c13dc69 |
| hex | 8344d70 |
137645424 has 120 divisors (see below), whose sum is σ = 463482240. Its totient is φ = 37252224.
The previous prime is 137645419. The next prime is 137645429. The reversal of 137645424 is 424546731.
137645424 is a `hidden beast` number, since 1 + 3 + 7 + 645 + 4 + 2 + 4 = 666.
It is an interprime number because it is at equal distance from previous prime (137645419) and next prime (137645429).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (137645429) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15559 + ... + 22745.
It is an arithmetic number, because the mean of its divisors is an integer number (3862352).
Almost surely, 2137645424 is an apocalyptic number.
137645424 is a gapful number since it is divisible by the number (14) 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 137645424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231741120).
137645424 is an abundant number, since it is smaller than the sum of its proper divisors (325836816).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
137645424 is a wasteful number, since it uses less digits than its factorization.
137645424 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 7227 (or 7218 counting only the distinct ones).
The product of its digits is 80640, while the sum is 36.
The square root of 137645424 is about 11732.2386610570. The cubic root of 137645424 is about 516.3219551966.
The spelling of 137645424 in words is "one hundred thirty-seven million, six hundred forty-five thousand, four hundred twenty-four".
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