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135666945 = 3256614561
BaseRepresentation
bin10000001011000…
…01110100000001
3100110021121001200
420011201310001
5234212320240
621243451413
73235102311
oct1005416401
9313247050
10135666945
116a642647
1239526b69
1322150ccb
1414037441
15bd9c930
hex8161d01

135666945 has 24 divisors (see below), whose sum is σ = 235563432. Its totient is φ = 72230400.

The previous prime is 135666931. The next prime is 135666961. The reversal of 135666945 is 549666531.

It can be written as a sum of positive squares in 4 ways, for example, as 20061441 + 115605504 = 4479^2 + 10752^2 .

It is not a de Polignac number, because 135666945 - 24 = 135666929 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 135666945.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27465 + ... + 32025.

It is an arithmetic number, because the mean of its divisors is an integer number (9815143).

Almost surely, 2135666945 is an apocalyptic number.

135666945 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

135666945 is a deficient number, since it is larger than the sum of its proper divisors (99896487).

135666945 is a wasteful number, since it uses less digits than its factorization.

135666945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5233 (or 5230 counting only the distinct ones).

The product of its digits is 583200, while the sum is 45.

The square root of 135666945 is about 11647.6154211924. The cubic root of 135666945 is about 513.8361817522.

The spelling of 135666945 in words is "one hundred thirty-five million, six hundred sixty-six thousand, nine hundred forty-five".

Divisors: 1 3 5 9 15 45 661 1983 3305 4561 5949 9915 13683 22805 29745 41049 68415 205245 3014821 9044463 15074105 27133389 45222315 135666945