| Base | Representation |
|---|---|
| bin | 10000001001010… |
| … | …11011110110000 |
| 3 | 100102212021210021 |
| 4 | 20010223132300 |
| 5 | 234133210100 |
| 6 | 21235013224 |
| 7 | 3233154430 |
| oct | 1004533660 |
| 9 | 312767707 |
| 10 | 135444400 |
| 11 | 6a500423 |
| 12 | 3943a214 |
| 13 | 220a3920 |
| 14 | 13dba2c0 |
| 15 | bd56a1a |
| hex | 812b7b0 |
135444400 has 180 divisors, whose sum is σ = 407171856. Its totient is φ = 42163200.
The previous prime is 135444373. The next prime is 135444431. The reversal of 135444400 is 4444531.
135444400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a hoax number, since the sum of its digits (25) 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 (25).
It is an unprimeable number.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2220370 + ... + 2220430.
Almost surely, 2135444400 is an apocalyptic number.
135444400 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 135444400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203585928).
135444400 is an abundant number, since it is smaller than the sum of its proper divisors (271727456).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
135444400 is a wasteful number, since it uses less digits than its factorization.
135444400 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 160 (or 88 counting only the distinct ones).
The product of its (nonzero) digits is 3840, while the sum is 25.
The square root of 135444400 is about 11638.0582572867. The cubic root of 135444400 is about 513.5550662190. Note that the first 3 decimals are identical.
Adding to 135444400 its reverse (4444531), we get a palindrome (139888931).
Multiplying 135444400 by its reverse (4444531), we get a square (601986834576400 = 245354202).
It can be divided in two parts, 1354 and 44400, that added together give a palindrome (45754).
The spelling of 135444400 in words is "one hundred thirty-five million, four hundred forty-four thousand, four hundred".
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