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135126 = 2327507
BaseRepresentation
bin100000111111010110
320212100200
4200333112
513311001
62521330
71101645
oct407726
9225320
10135126
1192582
1266246
1349674
143735c
152a086
hex20fd6

135126 has 12 divisors (see below), whose sum is σ = 292812. Its totient is φ = 45036.

The previous prime is 135119. The next prime is 135131. The reversal of 135126 is 621531.

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 7507 = 135126 / (1 + 3 + 5 + 1 + 2 + 6).

It is a junction number, because it is equal to n+sod(n) for n = 135099 and 135108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3736 + ... + 3771.

It is an arithmetic number, because the mean of its divisors is an integer number (24401).

2135126 is an apocalyptic number.

135126 is an abundant number, since it is smaller than the sum of its proper divisors (157686).

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

135126 is a wasteful number, since it uses less digits than its factorization.

135126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7515 (or 7512 counting only the distinct ones).

The product of its digits is 180, while the sum is 18.

The square root of 135126 is about 367.5948857098. The cubic root of 135126 is about 51.3152332131.

Adding to 135126 its reverse (621531), we get a palindrome (756657).

The spelling of 135126 in words is "one hundred thirty-five thousand, one hundred twenty-six".

Divisors: 1 2 3 6 9 18 7507 15014 22521 45042 67563 135126