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135419376 = 24319714321
BaseRepresentation
bin10000001001001…
…01010111110000
3100102211000110110
420010211113300
5234131410001
621234301320
73233021451
oct1004452760
9312730413
10135419376
116a493644
1239427840
1322095411
1413db1128
15bd4e3d6
hex81255f0

135419376 has 40 divisors (see below), whose sum is σ = 351633744. Its totient is φ = 44907520.

The previous prime is 135419309. The next prime is 135419393. The reversal of 135419376 is 673914531.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 2296 + ... + 16616.

Almost surely, 2135419376 is an apocalyptic number.

135419376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

135419376 is an abundant number, since it is smaller than the sum of its proper divisors (216214368).

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

135419376 is a wasteful number, since it uses less digits than its factorization.

135419376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14529 (or 14523 counting only the distinct ones).

The product of its digits is 68040, while the sum is 39.

The square root of 135419376 is about 11636.9831141924. The cubic root of 135419376 is about 513.5234370204.

The spelling of 135419376 in words is "one hundred thirty-five million, four hundred nineteen thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 197 394 591 788 1182 1576 2364 3152 4728 9456 14321 28642 42963 57284 85926 114568 171852 229136 343704 687408 2821237 5642474 8463711 11284948 16927422 22569896 33854844 45139792 67709688 135419376