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135376 = 248461
BaseRepresentation
bin100001000011010000
320212200221
4201003100
513313001
62522424
71102453
oct410320
9225627
10135376
119278a
1266414
1349807
143749a
152a1a1
hex210d0

135376 has 10 divisors (see below), whose sum is σ = 262322. Its totient is φ = 67680.

The previous prime is 135367. The next prime is 135389. The reversal of 135376 is 673531.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 129600 + 5776 = 360^2 + 76^2 .

It is a super-2 number, since 2×1353762 = 36653322752, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 135376.

It is a congruent number.

It is an unprimeable number.

135376 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 (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4215 + ... + 4246.

2135376 is an apocalyptic number.

135376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

135376 is a deficient number, since it is larger than the sum of its proper divisors (126946).

135376 is an equidigital number, since it uses as much as digits as its factorization.

135376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8469 (or 8463 counting only the distinct ones).

The product of its digits is 1890, while the sum is 25.

The square root of 135376 is about 367.9347768287. The cubic root of 135376 is about 51.3468602496.

The spelling of 135376 in words is "one hundred thirty-five thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 8461 16922 33844 67688 135376