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133552125 = 335375653
BaseRepresentation
bin1111111010111…
…01011111111101
3100022022011002000
413331131133331
5233142132000
621130252513
73211113540
oct775353775
9308264060
10133552125
1169428763
1238887139
1321890535
1413a46857
15bad1000
hex7f5d7fd

133552125 has 64 divisors (see below), whose sum is σ = 282247680. Its totient is φ = 61041600.

The previous prime is 133552091. The next prime is 133552183. The reversal of 133552125 is 521255331.

It is a happy number.

133552125 is a `hidden beast` number, since 133 + 5 + 521 + 2 + 5 = 666.

It is not a de Polignac number, because 133552125 - 213 = 133543933 is a prime.

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20799 + ... + 26451.

It is an arithmetic number, because the mean of its divisors is an integer number (4410120).

Almost surely, 2133552125 is an apocalyptic number.

133552125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

133552125 is an abundant number, since it is smaller than the sum of its proper divisors (148695555).

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

133552125 is an equidigital number, since it uses as much as digits as its factorization.

133552125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5684 (or 5668 counting only the distinct ones).

The product of its digits is 4500, while the sum is 27.

The square root of 133552125 is about 11556.4754575087. The cubic root of 133552125 is about 511.1522390852.

The spelling of 133552125 in words is "one hundred thirty-three million, five hundred fifty-two thousand, one hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 63 75 105 125 135 175 189 225 315 375 525 675 875 945 1125 1575 2625 3375 4725 5653 7875 16959 23625 28265 39571 50877 84795 118713 141325 152631 197855 254385 356139 423975 593565 706625 763155 989275 1068417 1271925 1780695 2119875 2967825 3815775 4946375 5342085 6359625 8903475 14839125 19078875 26710425 44517375 133552125