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132135570 = 23357151463
BaseRepresentation
bin1111110000000…
…11101010010010
3100012122011221000
413320003222102
5232311314240
621040042430
73163063620
oct770035222
9305564830
10132135570
1168650456
1238303416
13214b5838
1413798510
15b901430
hex7e03a92

132135570 has 128 divisors (see below), whose sum is σ = 406241280. Its totient is φ = 29937600.

The previous prime is 132135569. The next prime is 132135581. The reversal of 132135570 is 75531231.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 285159 + ... + 285621.

It is an arithmetic number, because the mean of its divisors is an integer number (3173760).

Almost surely, 2132135570 is an apocalyptic number.

132135570 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132135570, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203120640).

132135570 is an abundant number, since it is smaller than the sum of its proper divisors (274105710).

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

132135570 is a wasteful number, since it uses less digits than its factorization.

132135570 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 132135570 is about 11495.0237059347. The cubic root of 132135570 is about 509.3385889639.

The spelling of 132135570 in words is "one hundred thirty-two million, one hundred thirty-five thousand, five hundred seventy".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 126 135 151 189 210 270 302 315 378 453 463 630 755 906 926 945 1057 1359 1389 1510 1890 2114 2265 2315 2718 2778 3171 3241 4077 4167 4530 4630 5285 6342 6482 6795 6945 8154 8334 9513 9723 10570 12501 13590 13890 15855 16205 19026 19446 20385 20835 25002 28539 29169 31710 32410 40770 41670 47565 48615 57078 58338 62505 69913 87507 95130 97230 125010 139826 142695 145845 175014 209739 285390 291690 349565 419478 437535 489391 629217 699130 875070 978782 1048695 1258434 1468173 1887651 2097390 2446955 2936346 3146085 3775302 4404519 4893910 6292170 7340865 8809038 9438255 13213557 14681730 18876510 22022595 26427114 44045190 66067785 132135570