| Base | Representation |
|---|---|
| bin | 10000011100010… |
| … | …10101100100000 |
| 3 | 100121112122112000 |
| 4 | 20032022230200 |
| 5 | 240302302202 |
| 6 | 21404204000 |
| 7 | 3263253543 |
| oct | 1016125440 |
| 9 | 317478460 |
| 10 | 137931552 |
| 11 | 7094a020 |
| 12 | 3a239600 |
| 13 | 22764a05 |
| 14 | 1446685a |
| 15 | c19891c |
| hex | 838ab20 |
137931552 has 192 divisors, whose sum is σ = 458680320. Its totient is φ = 39916800.
The previous prime is 137931533. The next prime is 137931571. The reversal of 137931552 is 255139731.
137931552 is a `hidden beast` number, since 1 + 3 + 79 + 31 + 552 = 666.
137931552 is nontrivially palindromic in base 15.
It is an interprime number because it is at equal distance from previous prime (137931533) and next prime (137931571).
It is a super-2 number, since 2×1379315522 = 38050226074257408, which contains 22 as substring.
It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 218277 + ... + 218907.
It is an arithmetic number, because the mean of its divisors is an integer number (2388960).
Almost surely, 2137931552 is an apocalyptic number.
137931552 is a gapful number since it is divisible by the number (12) 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 137931552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229340160).
137931552 is an abundant number, since it is smaller than the sum of its proper divisors (320748768).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
137931552 is a wasteful number, since it uses less digits than its factorization.
137931552 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 684 (or 670 counting only the distinct ones).
The product of its digits is 28350, while the sum is 36.
The square root of 137931552 is about 11744.4264227760. The cubic root of 137931552 is about 516.6794726390.
The spelling of 137931552 in words is "one hundred thirty-seven million, nine hundred thirty-one thousand, five hundred fifty-two".
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