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133530525 = 3452234761
BaseRepresentation
bin1111111010110…
…00001110011101
3100022021001110000
413331120032131
5233140434100
621130004513
73210663552
oct775301635
9308231400
10133530525
1169413507
1238876739
132188375b
1413a3ca29
15bac9900
hex7f5839d

133530525 has 120 divisors (see below), whose sum is σ = 267911424. Its totient is φ = 65577600.

The previous prime is 133530503. The next prime is 133530533. The reversal of 133530525 is 525035331.

133530525 is a `hidden beast` number, since 1 + 335 + 305 + 25 = 666.

It is not a de Polignac number, because 133530525 - 29 = 133530013 is a prime.

It is a super-2 number, since 2×1335305252 = 35660802213551250, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2188995 + ... + 2189055.

Almost surely, 2133530525 is an apocalyptic number.

133530525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

133530525 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

133530525 is a wasteful number, since it uses less digits than its factorization.

133530525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 6750, while the sum is 27.

The square root of 133530525 is about 11555.5408787300. The cubic root of 133530525 is about 511.1246805979.

Adding to 133530525 its reverse (525035331), we get a palindrome (658565856).

The spelling of 133530525 in words is "one hundred thirty-three million, five hundred thirty thousand, five hundred twenty-five".

Divisors: 1 3 5 9 15 23 25 27 45 47 61 69 75 81 115 135 141 183 207 225 235 305 345 405 423 549 575 621 675 705 915 1035 1081 1175 1269 1403 1525 1647 1725 1863 2025 2115 2745 2867 3105 3243 3525 3807 4209 4575 4941 5175 5405 6345 7015 8235 8601 9315 9729 10575 12627 13725 14335 15525 16215 19035 21045 24705 25803 27025 29187 31725 35075 37881 41175 43005 46575 48645 63135 65941 71675 77409 81075 87561 95175 105225 113643 123525 129015 145935 189405 197823 215025 232227 243225 315675 329705 387045 437805 568215 593469 645075 729675 947025 989115 1161135 1648525 1780407 1935225 2189025 2841075 2967345 4945575 5341221 5805675 8902035 14836725 26706105 44510175 133530525