| Base | Representation |
|---|---|
| bin | 10000011000010… |
| … | …11000000100000 |
| 3 | 100120120002002100 |
| 4 | 20030023000200 |
| 5 | 240134033134 |
| 6 | 21345050400 |
| 7 | 3255645000 |
| oct | 1014130040 |
| 9 | 316502070 |
| 10 | 137408544 |
| 11 | 70622089 |
| 12 | 3a026a00 |
| 13 | 22610940 |
| 14 | 1436c000 |
| 15 | c0e3999 |
| hex | 830b020 |
137408544 has 288 divisors, whose sum is σ = 495331200. Its totient is φ = 35900928.
The previous prime is 137408543. The next prime is 137408563. The reversal of 137408544 is 445804731.
It is a tau number, because it is divible by the number of its divisors (288).
It is a super-2 number, since 2×1374085442 = 37762215928399872, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 137408499 and 137408508.
It is not an unprimeable number, because it can be changed into a prime (137408543) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1284139 + ... + 1284245.
It is an arithmetic number, because the mean of its divisors is an integer number (1719900).
Almost surely, 2137408544 is an apocalyptic number.
137408544 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 137408544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247665600).
137408544 is an abundant number, since it is smaller than the sum of its proper divisors (357922656).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
137408544 is a wasteful number, since it uses less digits than its factorization.
137408544 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 157 (or 132 counting only the distinct ones).
The product of its (nonzero) digits is 53760, while the sum is 36.
The square root of 137408544 is about 11722.1390539440. The cubic root of 137408544 is about 516.0255981532.
The spelling of 137408544 in words is "one hundred thirty-seven million, four hundred eight thousand, five hundred forty-four".
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