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135005697 = 39193
BaseRepresentation
bin10000000110000…
…00011000000001
3100102001000000000
420003000120001
5234030140242
621221350213
73226346421
oct1003003001
9312030000
10135005697
116a230862
1239268369
1321c7c038
1413d04481
15bcbba4c
hex80c0601

135005697 has 40 divisors (see below), whose sum is σ = 213753760. Its totient is φ = 85266756.

The previous prime is 135005683. The next prime is 135005723. The reversal of 135005697 is 796500531.

It is a happy number.

The cubic root of 135005697 is 513.

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

135005697 is a `hidden beast` number, since 13 + 500 + 56 + 97 = 666.

135005697 is nontrivially palindromic in base 8.

It is not a de Polignac number, because 135005697 - 214 = 134989313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (135005597) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7105554 + ... + 7105572.

It is an arithmetic number, because the mean of its divisors is an integer number (5343844).

Almost surely, 2135005697 is an apocalyptic number.

It is an amenable number.

135005697 is a deficient number, since it is larger than the sum of its proper divisors (78748063).

135005697 is an frugal number, since it uses more digits than its factorization.

135005697 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 22 counting only the distinct ones).

The product of its (nonzero) digits is 28350, while the sum is 36.

The square root of 135005697 is about 11619.1951958817.

The spelling of 135005697 in words is "one hundred thirty-five million, five thousand, six hundred ninety-seven".

Divisors: 1 3 9 19 27 57 81 171 243 361 513 729 1083 1539 2187 3249 4617 6561 6859 9747 13851 19683 20577 29241 41553 61731 87723 124659 185193 263169 373977 555579 789507 1666737 2368521 5000211 7105563 15000633 45001899 135005697