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135532544 = 212729163
BaseRepresentation
bin10000001010000…
…01000000000000
3100110000202200212
420011001000000
5234144020134
621240533252
73234002420
oct1005010000
9313022625
10135532544
116a560674
1239481228
1322104a94
1414000480
15bd72bce
hex8141000

135532544 has 104 divisors (see below), whose sum is σ = 322397760. Its totient is φ = 55738368.

The previous prime is 135532543. The next prime is 135532549. The reversal of 135532544 is 445235531.

It is a happy number.

It is a super-2 number, since 2×1355325442 = 36738140966223872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 135532544.

It is not an unprimeable number, because it can be changed into a prime (135532541) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 831407 + ... + 831569.

Almost surely, 2135532544 is an apocalyptic number.

135532544 is a gapful number since it is divisible by the number (14) 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 135532544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161198880).

135532544 is an abundant number, since it is smaller than the sum of its proper divisors (186865216).

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

135532544 is an equidigital number, since it uses as much as digits as its factorization.

135532544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 201 counting only the distinct ones).

The product of its digits is 36000, while the sum is 32.

The square root of 135532544 is about 11641.8445273934. The cubic root of 135532544 is about 513.6664452099. Note that the first 3 decimals are identical.

The spelling of 135532544 in words is "one hundred thirty-five million, five hundred thirty-two thousand, five hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 112 116 128 163 203 224 232 256 326 406 448 464 512 652 812 896 928 1024 1141 1304 1624 1792 1856 2048 2282 2608 3248 3584 3712 4096 4564 4727 5216 6496 7168 7424 9128 9454 10432 12992 14336 14848 18256 18908 20864 25984 28672 29696 33089 36512 37816 41728 51968 59392 66178 73024 75632 83456 103936 118784 132356 146048 151264 166912 207872 264712 292096 302528 333824 415744 529424 584192 605056 667648 831488 1058848 1168384 1210112 2117696 2336768 2420224 4235392 4673536 4840448 8470784 9680896 16941568 19361792 33883136 67766272 135532544