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135908253 = 3313387203
BaseRepresentation
bin10000001100111…
…00101110011101
3100110201212002000
420012130232131
5234243031003
621252552513
73240125655
oct1006345635
9313655060
10135908253
116a797978
1239622739
1322206ab0
141409b365
15bde91a3
hex819cb9d

135908253 has 16 divisors (see below), whose sum is σ = 216834240. Its totient is φ = 83635632.

The previous prime is 135908249. The next prime is 135908257. The reversal of 135908253 is 352809531.

135908253 is a `hidden beast` number, since 13 + 590 + 8 + 2 + 53 = 666.

135908253 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (135908249) and next prime (135908257).

It is not a de Polignac number, because 135908253 - 22 = 135908249 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135908257) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 193251 + ... + 193952.

It is an arithmetic number, because the mean of its divisors is an integer number (13552140).

Almost surely, 2135908253 is an apocalyptic number.

135908253 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

135908253 is a deficient number, since it is larger than the sum of its proper divisors (80925987).

135908253 is a wasteful number, since it uses less digits than its factorization.

135908253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387225 (or 387219 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 135908253 is about 11657.9695058788. The cubic root of 135908253 is about 514.1406512490.

It can be divided in two parts, 135908 and 253, that added together give a square (136161 = 3692).

The spelling of 135908253 in words is "one hundred thirty-five million, nine hundred eight thousand, two hundred fifty-three".

Divisors: 1 3 9 13 27 39 117 351 387203 1161609 3484827 5033639 10454481 15100917 45302751 135908253