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135381072 = 24323911801
BaseRepresentation
bin10000001000111…
…00000001010000
3100102202001220210
420010130001100
5234124143242
621233404120
73232502001
oct1004340120
9312661823
10135381072
116a467892
1239409640
1322080b58
1413da11a8
15bd42d9c
hex811c050

135381072 has 40 divisors (see below), whose sum is σ = 351227520. Its totient is φ = 44934400.

The previous prime is 135381053. The next prime is 135381073. The reversal of 135381072 is 270183531.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135381073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5572 + ... + 17372.

It is an arithmetic number, because the mean of its divisors is an integer number (8780688).

Almost surely, 2135381072 is an apocalyptic number.

135381072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

135381072 is an abundant number, since it is smaller than the sum of its proper divisors (215846448).

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

135381072 is a wasteful number, since it uses less digits than its factorization.

135381072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12051 (or 12045 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 135381072 is about 11635.3372104121. The cubic root of 135381072 is about 513.4750149575.

The spelling of 135381072 in words is "one hundred thirty-five million, three hundred eighty-one thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 239 478 717 956 1434 1912 2868 3824 5736 11472 11801 23602 35403 47204 70806 94408 141612 188816 283224 566448 2820439 5640878 8461317 11281756 16922634 22563512 33845268 45127024 67690536 135381072