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135012528 = 2433744647
BaseRepresentation
bin10000000110000…
…10000010110000
3100102001100101000
420003002002300
5234030400103
621221442000
73226405350
oct1003020260
9312040330
10135012528
116a235a02
1239270300
1321c82191
1413d06b60
15bcbdaa3
hex80c20b0

135012528 has 80 divisors (see below), whose sum is σ = 442908160. Its totient is φ = 38574144.

The previous prime is 135012517. The next prime is 135012539. The reversal of 135012528 is 825210531.

It is a happy number.

135012528 is a `hidden beast` number, since 135 + 0 + 1 + 2 + 528 = 666.

It is an interprime number because it is at equal distance from previous prime (135012517) and next prime (135012539).

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 (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19300 + ... + 25347.

It is an arithmetic number, because the mean of its divisors is an integer number (5536352).

Almost surely, 2135012528 is an apocalyptic number.

135012528 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

135012528 is an abundant number, since it is smaller than the sum of its proper divisors (307895632).

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

135012528 is a wasteful number, since it uses less digits than its factorization.

135012528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44671 (or 44659 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 135012528 is about 11619.4891453971. The cubic root of 135012528 is about 513.0086520890.

The spelling of 135012528 in words is "one hundred thirty-five million, twelve thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 3024 44647 89294 133941 178588 267882 312529 357176 401823 535764 625058 714352 803646 937587 1071528 1205469 1250116 1607292 1875174 2143056 2410938 2500232 2812761 3214584 3750348 4821876 5000464 5625522 6429168 7500696 8438283 9643752 11251044 15001392 16876566 19287504 22502088 33753132 45004176 67506264 135012528