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135419769 = 364312
BaseRepresentation
bin10000001001001…
…01011101111001
3100102211001000000
420010211131321
5234131413034
621234303213
73233022552
oct1004453571
9312731000
10135419769
116a493971
1239427b09
1322095654
1413db1329
15bd4e599
hex8125779

135419769 has 21 divisors (see below), whose sum is σ = 203508949. Its totient is φ = 90070380.

The previous prime is 135419759. The next prime is 135419803. The reversal of 135419769 is 967914531.

The square root of 135419769 is 11637.

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

135419769 is a `hidden beast` number, since 13 + 541 + 97 + 6 + 9 = 666.

It is not a de Polignac number, because 135419769 - 29 = 135419257 is a prime.

It is a super-2 number, since 2×1354197692 = 36677027672026722, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (135419759) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 313984 + ... + 314414.

Almost surely, 2135419769 is an apocalyptic number.

135419769 is the 11637-th square number.

135419769 is the 5819-th centered octagonal number.

It is an amenable number.

135419769 is a deficient number, since it is larger than the sum of its proper divisors (68089180).

135419769 is an frugal number, since it uses more digits than its factorization.

135419769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880 (or 434 counting only the distinct ones).

The product of its digits is 204120, while the sum is 45.

The cubic root of 135419769 is about 513.5239337846.

It can be divided in two parts, 135 and 419769, that added together give a square (419904 = 6482).

The spelling of 135419769 in words is "one hundred thirty-five million, four hundred nineteen thousand, seven hundred sixty-nine".

Divisors: 1 3 9 27 81 243 431 729 1293 3879 11637 34911 104733 185761 314199 557283 1671849 5015547 15046641 45139923 135419769