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135941902209 = 347125772
BaseRepresentation
bin111111010011011000…
…1001100111110000001
3110222220000200011010000
41332212301030332001
54211402111332314
6142241214430213
712551524050261
oct1764661147601
9428800604100
10135941902209
115271a729213
122241a802369
13ca85c0b3b9
1468186b37a1
153809822209
hex1fa6c4cf81

135941902209 has 45 divisors (see below), whose sum is σ = 206331776211. Its totient is φ = 89196629760.

The previous prime is 135941902163. The next prime is 135941902219. The reversal of 135941902209 is 902209149531.

The square root of 135941902209 is 368703.

It is a perfect power (a square), and thus also a powerful number.

135941902209 is a `hidden beast` number, since 1 + 3 + 5 + 9 + 419 + 0 + 220 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 135001130625 + 940771584 = 367425^2 + 30672^2 .

It is not a de Polignac number, because 135941902209 - 217 = 135941771137 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (135941902219) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 235600929 + ... + 235601505.

Almost surely, 2135941902209 is an apocalyptic number.

135941902209 is the 368703-rd square number.

135941902209 is the 184352-nd centered octagonal number.

It is an amenable number.

135941902209 is a deficient number, since it is larger than the sum of its proper divisors (70389874002).

135941902209 is an frugal number, since it uses more digits than its factorization.

135941902209 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1308 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 135941902209 in words is "one hundred thirty-five billion, nine hundred forty-one million, nine hundred two thousand, two hundred nine".

Divisors: 1 3 9 27 71 81 213 577 639 1731 1917 5041 5193 5751 15123 15579 40967 45369 46737 122901 136107 332929 368703 408321 998787 1106109 2908657 2996361 3318327 8725971 8989083 23637959 26177913 26967249 70913877 78533739 212741631 235601217 638224893 1678295089 1914674679 5034885267 15104655801 45313967403 135941902209