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135753475 = 521113223127
BaseRepresentation
bin10000001011101…
…10111100000011
3100110102222202111
420011312330003
5234223102400
621245400151
73235612504
oct1005667403
9313388674
10135753475
116a6a1660
1239569057
1322181500
141405abab
15bdb83ba
hex8176f03

135753475 has 72 divisors (see below), whose sum is σ = 209129472. Its totient is φ = 86486400.

The previous prime is 135753473. The next prime is 135753493. The reversal of 135753475 is 574357531.

It is a happy number.

It is not a de Polignac number, because 135753475 - 21 = 135753473 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (135753473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1068862 + ... + 1068988.

It is an arithmetic number, because the mean of its divisors is an integer number (2904576).

Almost surely, 2135753475 is an apocalyptic number.

135753475 is a deficient number, since it is larger than the sum of its proper divisors (73375997).

135753475 is a wasteful number, since it uses less digits than its factorization.

135753475 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 179 counting only the distinct ones).

The product of its digits is 220500, while the sum is 40.

The square root of 135753475 is about 11651.3293233004. The cubic root of 135753475 is about 513.9454021554.

The spelling of 135753475 in words is "one hundred thirty-five million, seven hundred fifty-three thousand, four hundred seventy-five".

Divisors: 1 5 11 13 23 25 55 65 115 127 143 169 253 275 299 325 575 635 715 845 1265 1397 1495 1651 1859 2921 3175 3289 3575 3887 4225 6325 6985 7475 8255 9295 14605 16445 18161 19435 21463 32131 34925 37973 41275 42757 46475 73025 82225 90805 97175 107315 160655 189865 213785 236093 417703 454025 493649 536575 803275 949325 1068925 1180465 2088515 2468245 5430139 5902325 10442575 12341225 27150695 135753475