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135816 = 2335659
BaseRepresentation
bin100001001010001000
320220022020
4201022020
513321231
62524440
71103652
oct411210
9226266
10135816
119304a
1266720
1349a85
14376d2
152a396
hex21288

135816 has 16 divisors (see below), whose sum is σ = 339600. Its totient is φ = 45264.

The previous prime is 135799. The next prime is 135829. The reversal of 135816 is 618531.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 5659 = 135816 / (1 + 3 + 5 + 8 + 1 + 6).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2806 + ... + 2853.

It is an arithmetic number, because the mean of its divisors is an integer number (21225).

2135816 is an apocalyptic number.

It is an amenable number.

135816 is an abundant number, since it is smaller than the sum of its proper divisors (203784).

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

135816 is a wasteful number, since it uses less digits than its factorization.

135816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5668 (or 5664 counting only the distinct ones).

The product of its digits is 720, while the sum is 24.

The square root of 135816 is about 368.5322238285. The cubic root of 135816 is about 51.4024293946.

The spelling of 135816 in words is "one hundred thirty-five thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 24 5659 11318 16977 22636 33954 45272 67908 135816