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135144256 = 26131271279
BaseRepresentation
bin10000000111000…
…10001101000000
3100102022001001211
420003202031000
5234044104011
621224335504
73230464402
oct1003421500
9312261054
10135144256
116a315975
1239314594
1321cca120
1413d3cb72
15bce7b21
hex80e2340

135144256 has 56 divisors (see below), whose sum is σ = 291307520. Its totient is φ = 61834752.

The previous prime is 135144253. The next prime is 135144257. The reversal of 135144256 is 652441531.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135144253) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 105025 + ... + 106303.

It is an arithmetic number, because the mean of its divisors is an integer number (5201920).

Almost surely, 2135144256 is an apocalyptic number.

135144256 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 135144256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145653760).

135144256 is an abundant number, since it is smaller than the sum of its proper divisors (156163264).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

135144256 is a wasteful number, since it uses less digits than its factorization.

135144256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1431 (or 1421 counting only the distinct ones).

The product of its digits is 14400, while the sum is 31.

The square root of 135144256 is about 11625.1561709940. The cubic root of 135144256 is about 513.1754406548.

Adding to 135144256 its reverse (652441531), we get a palindrome (787585787).

The spelling of 135144256 in words is "one hundred thirty-five million, one hundred forty-four thousand, two hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 127 208 254 416 508 832 1016 1279 1651 2032 2558 3302 4064 5116 6604 8128 10232 13208 16627 20464 26416 33254 40928 52832 66508 81856 105664 133016 162433 266032 324866 532064 649732 1064128 1299464 2111629 2598928 4223258 5197856 8446516 10395712 16893032 33786064 67572128 135144256