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135751409 = 1719372307
BaseRepresentation
bin10000001011101…
…10011011110001
3100110102212220222
420011312123301
5234223021114
621245342425
73235603463
oct1005663361
9313385828
10135751409
116a6a0052
1239567a15
13221805a1
141405a133
15bdb798e
hex81766f1

135751409 has 24 divisors (see below), whose sum is σ = 156008160. Its totient is φ = 117386496.

The previous prime is 135751337. The next prime is 135751417. The reversal of 135751409 is 904157531.

135751409 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-135751409 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (135751439) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 442034 + ... + 442340.

It is an arithmetic number, because the mean of its divisors is an integer number (6500340).

Almost surely, 2135751409 is an apocalyptic number.

135751409 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

135751409 is a deficient number, since it is larger than the sum of its proper divisors (20256751).

135751409 is a wasteful number, since it uses less digits than its factorization.

135751409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 35.

The square root of 135751409 is about 11651.2406635517. The cubic root of 135751409 is about 513.9427949377.

The spelling of 135751409 in words is "one hundred thirty-five million, seven hundred fifty-one thousand, four hundred nine".

Divisors: 1 17 19 37 307 323 629 703 1369 5219 5833 11359 11951 23273 26011 99161 193103 215821 420283 442187 3668957 7144811 7985377 135751409