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135235296 = 253273372
BaseRepresentation
bin10000000111110…
…00011011100000
3100102110122221200
420003320123200
5234110012141
621230321200
73231324000
oct1003703340
9312418850
10135235296
116a378309
1239359200
132202c6b1
1413d64000
15bd14ab6
hex80f86e0

135235296 has 216 divisors, whose sum is σ = 460933200. Its totient is φ = 37594368.

The previous prime is 135235273. The next prime is 135235307. The reversal of 135235296 is 692532531.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

135235296 is a `hidden beast` number, since 135 + 235 + 296 = 666.

135235296 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 135235296.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3654990 + ... + 3655026.

It is an arithmetic number, because the mean of its divisors is an integer number (2133950).

Almost surely, 2135235296 is an apocalyptic number.

135235296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135235296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230466600).

135235296 is an abundant number, since it is smaller than the sum of its proper divisors (325697904).

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

135235296 is an equidigital number, since it uses as much as digits as its factorization.

135235296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 49 counting only the distinct ones).

The product of its digits is 48600, while the sum is 36.

The square root of 135235296 is about 11629.0711580934. The cubic root of 135235296 is about 513.2906484250.

It can be divided in two parts, 135235 and 296, that added together give a palindrome (135531).

The spelling of 135235296 in words is "one hundred thirty-five million, two hundred thirty-five thousand, two hundred ninety-six".