Base | Representation |
---|---|
bin | 10000001100001… |
… | …01010110010100 |
3 | 100110112222201121 |
4 | 20012011112110 |
5 | 234232000000 |
6 | 21250533324 |
7 | 3236246545 |
oct | 1006052624 |
9 | 313488647 |
10 | 135812500 |
11 | 6a731a3a |
12 | 39597244 |
13 | 221a2335 |
14 | 140744cc |
15 | bdcab1a |
hex | 8185594 |
135812500 has 84 divisors (see below), whose sum is σ = 310074156. Its totient is φ = 52000000.
The previous prime is 135812497. The next prime is 135812503. The reversal of 135812500 is 5218531.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (135812497) and next prime (135812503).
It can be written as a sum of positive squares in 14 ways, for example, as 93354244 + 42458256 = 9662^2 + 6516^2 .
It is a sliding number, since 135812500 = 7812500 + 128000000 and 1/7812500 + 1/128000000 = 0.000000135812500.
It is a Harshad number since it is a multiple of its sum of digits (25).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (135812503) by changing a digit.
It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 2562474 + ... + 2562526.
It is an arithmetic number, because the mean of its divisors is an integer number (3691359).
Almost surely, 2135812500 is an apocalyptic number.
135812500 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 135812500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155037078).
135812500 is an abundant number, since it is smaller than the sum of its proper divisors (174261656).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
135812500 is an frugal number, since it uses more digits than its factorization.
135812500 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 128 (or 101 counting only the distinct ones).
The product of its (nonzero) digits is 1200, while the sum is 25.
The square root of 135812500 is about 11653.8620208067. The cubic root of 135812500 is about 514.0198784118.
The spelling of 135812500 in words is "one hundred thirty-five million, eight hundred twelve thousand, five hundred".
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