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135341660 = 22523319491
BaseRepresentation
bin10000001000100…
…10011001011100
3100102200001212002
420010102121130
5234121413120
621232501432
73232246046
oct1004223134
9312601762
10135341660
116a440213
12393aa878
1322068c2c
1413d90a96
15bd36375
hex811265c

135341660 has 48 divisors (see below), whose sum is σ = 306173952. Its totient is φ = 50107200.

The previous prime is 135341653. The next prime is 135341669. The reversal of 135341660 is 66143531.

135341660 = 282 + 292 + ... + 7402.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135341669) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9515 + ... + 19005.

It is an arithmetic number, because the mean of its divisors is an integer number (6378624).

Almost surely, 2135341660 is an apocalyptic number.

135341660 is a gapful number since it is divisible by the number (10) 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 135341660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153086976).

135341660 is an abundant number, since it is smaller than the sum of its proper divisors (170832292).

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

135341660 is a wasteful number, since it uses less digits than its factorization.

135341660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9554 (or 9552 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 29.

The square root of 135341660 is about 11633.6434533640. The cubic root of 135341660 is about 513.4251826801.

The spelling of 135341660 in words is "one hundred thirty-five million, three hundred forty-one thousand, six hundred sixty".

Divisors: 1 2 4 5 10 20 23 31 46 62 92 115 124 155 230 310 460 620 713 1426 2852 3565 7130 9491 14260 18982 37964 47455 94910 189820 218293 294221 436586 588442 873172 1091465 1176884 1471105 2182930 2942210 4365860 5884420 6767083 13534166 27068332 33835415 67670830 135341660