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135093348 = 223213288661
BaseRepresentation
bin10000000110101…
…01110001100100
3100102012110020100
420003111301210
5234040441343
621223304100
73230163105
oct1003256144
9312173210
10135093348
116a2906a5
12392ab030
1321cacbc0
1413d283ac
15bcd79d3
hex80d5c64

135093348 has 36 divisors (see below), whose sum is σ = 367755388. Its totient is φ = 41567040.

The previous prime is 135093323. The next prime is 135093353. The reversal of 135093348 is 843390531.

It can be written as a sum of positive squares in 2 ways, for example, as 51151104 + 83942244 = 7152^2 + 9162^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

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 11 ways as a sum of consecutive naturals, for example, 143863 + ... + 144798.

Almost surely, 2135093348 is an apocalyptic number.

135093348 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

135093348 is an abundant number, since it is smaller than the sum of its proper divisors (232662040).

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

135093348 is a wasteful number, since it uses less digits than its factorization.

135093348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288684 (or 288679 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 135093348 is about 11622.9664027734. The cubic root of 135093348 is about 513.1109958975.

The spelling of 135093348 in words is "one hundred thirty-five million, ninety-three thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 288661 577322 865983 1154644 1731966 2597949 3463932 3752593 5195898 7505186 10391796 11257779 15010372 22515558 33773337 45031116 67546674 135093348