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136768509 = 32431572251
BaseRepresentation
bin10000010011011…
…10101111111101
3100112100120010100
420021232233331
5240003043014
621323231313
73250341003
oct1011565775
9315316110
10136768509
1170225229
1239978539
1322448517
1414242a73
15c019009
hex826ebfd

136768509 has 24 divisors (see below), whose sum is σ = 203526752. Its totient is φ = 88452000.

The previous prime is 136768501. The next prime is 136768529. The reversal of 136768509 is 905867631.

It is a happy number.

136768509 is a `hidden beast` number, since 136 + 7 + 6 + 8 + 509 = 666.

It is not a de Polignac number, because 136768509 - 23 = 136768501 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136768501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59634 + ... + 61884.

Almost surely, 2136768509 is an apocalyptic number.

It is an amenable number.

136768509 is a deficient number, since it is larger than the sum of its proper divisors (66758243).

136768509 is a wasteful number, since it uses less digits than its factorization.

136768509 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2457 (or 2454 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 136768509 is about 11694.8069244430. The cubic root of 136768509 is about 515.2231527348.

The spelling of 136768509 in words is "one hundred thirty-six million, seven hundred sixty-eight thousand, five hundred nine".

Divisors: 1 3 9 43 129 157 387 471 1413 2251 6751 6753 20253 20259 60759 96793 290379 353407 871137 1060221 3180663 15196501 45589503 136768509