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135770576 = 2429319439
BaseRepresentation
bin10000001011110…
…11000111010000
3100110110212012212
420011323013100
5234224124301
621250011252
73236013404
oct1005730720
9313425185
10135770576
116a703497
1239576b28
1322189226
1414063104
15bdbd4bb
hex817b1d0

135770576 has 40 divisors (see below), whose sum is σ = 280934400. Its totient is φ = 63423360.

The previous prime is 135770539. The next prime is 135770581. The reversal of 135770576 is 675077531.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9665 + ... + 19103.

It is an arithmetic number, because the mean of its divisors is an integer number (7023360).

Almost surely, 2135770576 is an apocalyptic number.

135770576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135770576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140467200).

135770576 is an abundant number, since it is smaller than the sum of its proper divisors (145163824).

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

135770576 is a wasteful number, since it uses less digits than its factorization.

135770576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9507 (or 9501 counting only the distinct ones).

The product of its (nonzero) digits is 154350, while the sum is 41.

The square root of 135770576 is about 11652.0631649507. The cubic root of 135770576 is about 513.9669819868.

The spelling of 135770576 in words is "one hundred thirty-five million, seven hundred seventy thousand, five hundred seventy-six".

Divisors: 1 2 4 8 16 29 31 58 62 116 124 232 248 464 496 899 1798 3596 7192 9439 14384 18878 37756 75512 151024 273731 292609 547462 585218 1094924 1170436 2189848 2340872 4379696 4681744 8485661 16971322 33942644 67885288 135770576