| Base | Representation |
|---|---|
| bin | 10000010111110… |
| … | …00010011100000 |
| 3 | 100120102012000000 |
| 4 | 20023320103200 |
| 5 | 240124110221 |
| 6 | 21343300000 |
| 7 | 3255205440 |
| oct | 1013702340 |
| 9 | 316365000 |
| 10 | 137331936 |
| 11 | 7057a575 |
| 12 | 39baa600 |
| 13 | 225b4b01 |
| 14 | 1434c120 |
| 15 | c0cae26 |
| hex | 82f84e0 |
137331936 has 252 divisors, whose sum is σ = 479809512. Its totient is φ = 37884672.
The previous prime is 137331863. The next prime is 137331937. The reversal of 137331936 is 639133731.
It is a tau number, because it is divible by the number of its divisors (252).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
It is a self number, because there is not a number n which added to its sum of digits gives 137331936.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (137331937) 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 41 ways as a sum of consecutive naturals, for example, 4735570 + ... + 4735598.
It is an arithmetic number, because the mean of its divisors is an integer number (1904006).
Almost surely, 2137331936 is an apocalyptic number.
137331936 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 137331936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239904756).
137331936 is an abundant number, since it is smaller than the sum of its proper divisors (342477576).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
137331936 is an frugal number, since it uses more digits than its factorization.
137331936 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 93 (or 41 counting only the distinct ones).
The product of its digits is 30618, while the sum is 36.
The square root of 137331936 is about 11718.8709353760. The cubic root of 137331936 is about 515.9296821431.
The spelling of 137331936 in words is "one hundred thirty-seven million, three hundred thirty-one thousand, nine hundred thirty-six".
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