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135760464 = 24327134683
BaseRepresentation
bin10000001011110…
…00101001010000
3100110110100100100
420011320221100
5234223313324
621245452400
73235642050
oct1005705120
9313410310
10135760464
116a6a6934
1239571100
1322184748
141405d560
15bdba4c9
hex8178a50

135760464 has 60 divisors (see below), whose sum is σ = 434221216. Its totient is φ = 38788416.

The previous prime is 135760459. The next prime is 135760483. The reversal of 135760464 is 464067531.

It is a happy number.

135760464 is a `hidden beast` number, since 135 + 7 + 60 + 464 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66334 + ... + 68349.

Almost surely, 2135760464 is an apocalyptic number.

135760464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

135760464 is an abundant number, since it is smaller than the sum of its proper divisors (298460752).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

135760464 is a wasteful number, since it uses less digits than its factorization.

135760464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134704 (or 134695 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 135760464 is about 11651.6292422991. The cubic root of 135760464 is about 513.9542218260.

The spelling of 135760464 in words is "one hundred thirty-five million, seven hundred sixty thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 134683 269366 404049 538732 808098 942781 1077464 1212147 1616196 1885562 2154928 2424294 2828343 3232392 3771124 4848588 5656686 6464784 7542248 8485029 9697176 11313372 15084496 16970058 19394352 22626744 33940116 45253488 67880232 135760464