| Base | Representation |
|---|---|
| bin | 10000011000110… |
| … | …10110000100000 |
| 3 | 100120200100120200 |
| 4 | 20030122300200 |
| 5 | 240143114211 |
| 6 | 21350305200 |
| 7 | 3256334040 |
| oct | 1014326040 |
| 9 | 316610520 |
| 10 | 137473056 |
| 11 | 706665a6 |
| 12 | 3a058200 |
| 13 | 22634106 |
| 14 | 14387720 |
| 15 | c107b56 |
| hex | 831ac20 |
137473056 has 288 divisors, whose sum is σ = 487992960. Its totient is φ = 35831808.
The previous prime is 137473031. The next prime is 137473057. The reversal of 137473056 is 650374731.
137473056 is a `hidden beast` number, since 137 + 473 + 0 + 56 = 666.
It is a tau number, because it is divible by the number of its divisors (288).
It is a super-3 number, since 3×1374730563 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 137473056.
It is not an unprimeable number, because it can be changed into a prime (137473057) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1417200 + ... + 1417296.
It is an arithmetic number, because the mean of its divisors is an integer number (1694420).
Almost surely, 2137473056 is an apocalyptic number.
137473056 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 137473056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243996480).
137473056 is an abundant number, since it is smaller than the sum of its proper divisors (350519904).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
137473056 is a wasteful number, since it uses less digits than its factorization.
137473056 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 176 (or 165 counting only the distinct ones).
The product of its (nonzero) digits is 52920, while the sum is 36.
The square root of 137473056 is about 11724.8904472494. The cubic root of 137473056 is about 516.1063418829.
The spelling of 137473056 in words is "one hundred thirty-seven million, four hundred seventy-three thousand, fifty-six".
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