| Base | Representation |
|---|---|
| bin | 10000010111010… |
| … | …10010001110000 |
| 3 | 100120022021012000 |
| 4 | 20023222101300 |
| 5 | 240120240410 |
| 6 | 21342134000 |
| 7 | 3254546100 |
| oct | 1013522160 |
| 9 | 316267160 |
| 10 | 137274480 |
| 11 | 70540392 |
| 12 | 39b81300 |
| 13 | 22594905 |
| 14 | 14335200 |
| 15 | c0b8dc0 |
| hex | 82ea470 |
137274480 has 240 divisors, whose sum is σ = 550455840. Its totient is φ = 31352832.
The previous prime is 137274463. The next prime is 137274481. The reversal of 137274480 is 84472731.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (240).
It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.
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 (137274481) 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 47 ways as a sum of consecutive naturals, for example, 105192 + ... + 106488.
It is an arithmetic number, because the mean of its divisors is an integer number (2293566).
Almost surely, 2137274480 is an apocalyptic number.
137274480 is a gapful number since it is divisible by the number (10) 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 137274480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275227920).
137274480 is an abundant number, since it is smaller than the sum of its proper divisors (413181360).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
137274480 is a wasteful number, since it uses less digits than its factorization.
137274480 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1333 (or 1314 counting only the distinct ones).
The product of its (nonzero) digits is 37632, while the sum is 36.
The square root of 137274480 is about 11716.4192482174. The cubic root of 137274480 is about 515.8577217246.
The spelling of 137274480 in words is "one hundred thirty-seven million, two hundred seventy-four thousand, four hundred eighty".
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