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135938 = 21137167
BaseRepresentation
bin100001001100000010
320220110202
4201030002
513322223
62525202
71104215
oct411402
9226422
10135938
1193150
1266802
1349b4a
143777c
152a428
hex21302

135938 has 16 divisors (see below), whose sum is σ = 229824. Its totient is φ = 59760.

The previous prime is 135937. The next prime is 135977. The reversal of 135938 is 839531.

It is a plaindrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 135938.

It is not an unprimeable number, because it can be changed into a prime (135937) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 731 + ... + 897.

It is an arithmetic number, because the mean of its divisors is an integer number (14364).

2135938 is an apocalyptic number.

135938 is a deficient number, since it is larger than the sum of its proper divisors (93886).

135938 is a wasteful number, since it uses less digits than its factorization.

135938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217.

The product of its digits is 3240, while the sum is 29.

The square root of 135938 is about 368.6977081567. The cubic root of 135938 is about 51.4178159460.

The spelling of 135938 in words is "one hundred thirty-five thousand, nine hundred thirty-eight".

Divisors: 1 2 11 22 37 74 167 334 407 814 1837 3674 6179 12358 67969 135938