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133525145052 = 223213285310139
BaseRepresentation
bin111110001011010111…
…0000000010111011100
3110202122121010011112200
41330112232000113130
54141424414120202
6141201323131500
712434610002115
oct1742656002734
9422577104480
10133525145052
115169a510852
1221a65373b90
13c78c306390
14666973120c
15371758ae1c
hex1f16b805dc

133525145052 has 36 divisors (see below), whose sum is σ = 363485118360. Its totient is φ = 41084659872.

The previous prime is 133525145029. The next prime is 133525145053. The reversal of 133525145052 is 250541525331.

133525145052 is a `hidden beast` number, since 1 + 33 + 525 + 1 + 4 + 50 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1335251450522 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 133525144998 and 133525145016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133525145053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 142654602 + ... + 142655537.

Almost surely, 2133525145052 is an apocalyptic number.

133525145052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133525145052 is an abundant number, since it is smaller than the sum of its proper divisors (229959973308).

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

133525145052 is a wasteful number, since it uses less digits than its factorization.

133525145052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285310162 (or 285310157 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The spelling of 133525145052 in words is "one hundred thirty-three billion, five hundred twenty-five million, one hundred forty-five thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 285310139 570620278 855930417 1141240556 1711860834 2567791251 3423721668 3709031807 5135582502 7418063614 10271165004 11127095421 14836127228 22254190842 33381286263 44508381684 66762572526 133525145052