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135405361 = 7139771523
BaseRepresentation
bin10000001001000…
…01111100110001
3100102210022020101
420010201330301
5234130432421
621234112401
73232632550
oct1004417461
9312708211
10135405361
116a484063
123941b701
132208bc20
1413da9d97
15bd4a191
hex8121f31

135405361 has 16 divisors (see below), whose sum is σ = 166932864. Its totient is φ = 106953984.

The previous prime is 135405353. The next prime is 135405373. The reversal of 135405361 is 163504531.

It is a cyclic number.

It is not a de Polignac number, because 135405361 - 23 = 135405353 is a prime.

It is a super-2 number, since 2×1354053612 = 36669223575080642, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (135405331) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 88146 + ... + 89668.

It is an arithmetic number, because the mean of its divisors is an integer number (10433304).

Almost surely, 2135405361 is an apocalyptic number.

It is an amenable number.

135405361 is a deficient number, since it is larger than the sum of its proper divisors (31527503).

135405361 is a wasteful number, since it uses less digits than its factorization.

135405361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2520.

The product of its (nonzero) digits is 5400, while the sum is 28.

The square root of 135405361 is about 11636.3809236377. The cubic root of 135405361 is about 513.5057209951.

Adding to 135405361 its reverse (163504531), we get a palindrome (298909892).

The spelling of 135405361 in words is "one hundred thirty-five million, four hundred five thousand, three hundred sixty-one".

Divisors: 1 7 13 91 977 1523 6839 10661 12701 19799 88907 138593 1487971 10415797 19343623 135405361