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133542531 = 321723137277
BaseRepresentation
bin1111111010110…
…11001010000011
3100022021122220200
413331123022003
5233141330111
621130140243
73211043553
oct775331203
9308248820
10133542531
1169421531
1238881683
1321889065
1413a43163
15bacd256
hex7f5b283

133542531 has 48 divisors (see below), whose sum is σ = 215452224. Its totient is φ = 79276032.

The previous prime is 133542529. The next prime is 133542553. The reversal of 133542531 is 135245331.

It is not a de Polignac number, because 133542531 - 21 = 133542529 is a prime.

It is a super-3 number, since 3×1335425313 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 133542495 and 133542504.

It is not an unprimeable number, because it can be changed into a prime (133542581) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 481965 + ... + 482241.

It is an arithmetic number, because the mean of its divisors is an integer number (4488588).

Almost surely, 2133542531 is an apocalyptic number.

133542531 is a deficient number, since it is larger than the sum of its proper divisors (81909693).

133542531 is a wasteful number, since it uses less digits than its factorization.

133542531 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 457 counting only the distinct ones).

The product of its digits is 5400, while the sum is 27.

The square root of 133542531 is about 11556.0603580978. The cubic root of 133542531 is about 511.1399988906.

Adding to 133542531 its reverse (135245331), we get a palindrome (268787862).

The spelling of 133542531 in words is "one hundred thirty-three million, five hundred forty-two thousand, five hundred thirty-one".

Divisors: 1 3 9 17 23 51 69 137 153 207 277 391 411 831 1173 1233 2329 2493 3151 3519 4709 6371 6987 9453 14127 19113 20961 28359 37949 42381 53567 57339 108307 113847 160701 324921 341541 482103 645133 872827 974763 1935399 2618481 5806197 7855443 14838059 44514177 133542531