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135048 = 23317331
BaseRepresentation
bin100000111110001000
320212020210
4200332020
513310143
62521120
71101504
oct407610
9225223
10135048
1192511
12661a0
1349614
1437304
152a033
hex20f88

135048 has 32 divisors (see below), whose sum is σ = 358560. Its totient is φ = 42240.

The previous prime is 135043. The next prime is 135049. The reversal of 135048 is 840531.

It is not an unprimeable number, because it can be changed into a prime (135043) by changing a digit.

135048 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 243 + ... + 573.

It is an arithmetic number, because the mean of its divisors is an integer number (11205).

2135048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179280).

135048 is an abundant number, since it is smaller than the sum of its proper divisors (223512).

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

135048 is a wasteful number, since it uses less digits than its factorization.

135048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 135048 is about 367.4887753388. The cubic root of 135048 is about 51.3053575943.

Adding to 135048 its reverse (840531), we get a palindrome (975579).

The spelling of 135048 in words is "one hundred thirty-five thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 331 408 662 993 1324 1986 2648 3972 5627 7944 11254 16881 22508 33762 45016 67524 135048